Problem 1SP: Write each expression in terms of i . a.81b.50c.11 Problem 2SP: Simplify. a.i13b.i103c.i64d.i30 Problem 3SP: Perform the indicated operations. Write the answer in the form a+bi. 83i2+4i+5+7i Problem 4SP: Multiply. Write the result in the form a+bi . 5+4i3i Problem 5SP: Multiply. Write the result in the form a+bi. a.47i2b.103i10+3i Problem 6SP Problem 7SP: Solve the equation by applying the square root property. 2c2+80=0. Problem 8SP: Solve the equation by applying the quadratic formula. 512x212x+14=0 Problem 9SP Problem 10SP Problem 11SP: Solve. 2t2/3=157t1/3 Problem 1PE: The imaginary number i is defined so that i=1andi2=. Problem 2PE: For a positive real number b, the value b=. Problem 3PE: Given a complex number a+bi , the value of a is called the part and the value of b is called the ... Problem 4PE: Given a complex number a+bi , the expression abi is called the complex . Problem 5PE: The equation m2/3+10m1/3+9=0 is said to be in form, because making the substitution u= results in a... Problem 6PE: Consider the equation 4x2+12+44x2+1+4=0. if the substitution u= is made, then the equation becomes... Problem 7PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 121 Problem 8PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 100 Problem 9PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 98 Problem 10PE Problem 11PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 49 Problem 12PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 136 Problem 13PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 105 Problem 14PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 615 Problem 15PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 982 Problem 16PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 455 Problem 17PE: For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 637 Problem 18PE Problem 19PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 8+3i14 Problem 20PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 4+5i6 Problem 21PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 46i2 Problem 22PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 915i3 Problem 23PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 18+484 Problem 24PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 20+5010 Problem 25PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 14987 Problem 26PE: For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 10+1255 Problem 27PE: For Exercises 27-30, simplify the powers of i. (See Example 2) a.i20b.i29c.i50d.i41 Problem 28PE Problem 29PE: For Exercises 27-30, simplify the powers of i. (See Example 2) a.i37b.i37c.i82d.i82 Problem 30PE: For Exercises 27-30, simplify the powers of i. (See Example 2) a.i103b.i103c.i52d.i52 Problem 31PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 32PE Problem 33PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 34PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 35PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 36PE Problem 37PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 38PE Problem 39PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 40PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 41PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 42PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 43PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 44PE Problem 45PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 46PE Problem 47PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 48PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 49PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 50PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 51PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 52PE Problem 53PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 54PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 55PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 56PE: For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi.... Problem 57PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 4u2+64=0 Problem 58PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 8p2+72=0 Problem 59PE: For Exercises 57-72, solve the equations. (See Examples 7-8) t122=174 Problem 60PE: For Exercises 57-72, solve the equations. (See Examples 7-8) a132=479 Problem 61PE: For Exercises 57-72, solve the equations. (See Examples 7-8) t28t=24 Problem 62PE: For Exercises 57-72, solve the equations. (See Examples 7-8) p224p=156 Problem 63PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 4z2+24z=160 Problem 64PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 2m2+20m=70 Problem 65PE: For Exercises 57-72, solve the equations. (See Examples 7-8) y2=4y6 Problem 66PE: For Exercises 57-72, solve the equations. (See Examples 7-8) z2=8z19 Problem 67PE: For Exercises 57-72, solve the equations. (See Examples 7-8) tt6=10 Problem 68PE: For Exercises 57-72, solve the equations. (See Examples 7-8) mm+10=34 Problem 69PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 76c+12=56c2 Problem 70PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 52d+1=3d2 Problem 71PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 9x2+49=0 Problem 72PE: For Exercises 57-72, solve the equations. (See Examples 7-8) 121x2+4=0 Problem 73PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 74PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 75PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 76PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 77PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 78PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 79PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 80PE: For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of... Problem 81PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 82PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 83PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 84PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 85PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 86PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 87PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 88PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 89PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 90PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 91PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 92PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 93PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 94PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 95PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 96PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 97PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 98PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 99PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 100PE: For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)... Problem 101PE: For Exercises 101-104, verify by substitution that the given values of x are solutions to the given... Problem 102PE: For Exercises 101-104, verify by substitution that the given values of x are solutions to the given... Problem 103PE: For Exercises 101-104, verify by substitution that the given values of x are solutions to the given... Problem 104PE: For Exercises 101-104, verify by substitution that the given values of x are solutions to the given... Problem 105PE: Prove thata+bic+di=acbd+ad+bci. Problem 106PE: Prove that a+bi2=a2b2+2abi. Problem 107PE: For Exercises 107-108, solve the equation in two ways. a. Solve as a radical equation by first... Problem 108PE: For Exercises 107-108, solve the equation in two ways. a. Solve as a radical equation by first... Problem 109PE: Explain the flaw in the following logic. 94=94=36=6 Problem 110PE: Discuss the difference between the products a+babanda+biabi. Problem 111PE: Give an example of a complex number that is its own conjugate. Problem 112PE: Give an example of two complex numbers that are not real numbers, but whose product is a real... Problem 113PE: Given a quadratic equation, what is the discriminant and what information does it provide about the... Problem 114PE: Explain how to determine if an equation is in quadratic form. Problem 115PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 116PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 117PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 118PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 119PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 120PE: For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,... Problem 121PE: For Exercise 121-124, write an equation with integer coefficients and the variable x that has the... Problem 122PE: For Exercise 121-124, write an equation with integer coefficients and the variable x that has the... Problem 123PE: For Exercise 121-124, write an equation with integer coefficients and the variable x that has the... Problem 124PE: For Exercise 121-124, write an equation with integer coefficients and the variable x that has the... format_list_bulleted