Answers must be in 4 decimal places. 1. Find all the roots of the following equations. i. ?³ + 10?² + 169? = 0

Q: How many real solutions are there to the equation |2x – 3|+ |5 – 2x| = 2? Select one: а. 1 С. 2 d. 3…

A: We will use basic of set theory to solve this question.

Q: II. Find all real roots of the following equations. 1. x- 10x2+32x-32 =0 2. x- 6x? +11x-6= 0

A:

Q: Which value would make the following equation have infinitely many solutions? 3-2x(1 - 2) = ?x+6 - 3…

A:

Q: Find the solution for a,,= -3a,-1-3an-2- an-3 with ao = 5,a1 =-9, a2 = 15. %3D

A:

Q: Need help to solve this equation. a+1/a-1  +  a-1/a+1  didvided by a+1/a-1 + a-1/a+1

A: The given expression is,

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: 5. Solve the following radical equations. Be sure to eliminate extraneous solutions. a. 3+Vx -1 = 6…

A: a) The radical 3+square root(x-1) = 6 is solved as follows.

Q: 5. Find the æ-intercept(s) of the following quadratic equation. y = 9x? – 36x + 36 O x = 2 x = 6 x =…

A: To find the x- intercept put y=0 and Solve for x

Q: Assume r is a positive number greater than 1. Is the solution of the following equation positive or…

A: Given , r is a positive number greater than 1r>1

Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

A:

Q: What are the roots of the equation? 0= x4 -3x3 + 8x? - 18x + 12 Select all correct answers. - O-2

A:

Q: Which choice represents the solutions to the quadratic equation shown below? 0=x? +10x+29 O A.X=1…

A: Given quadratic equation: x2+10x+29=0

Q: 3. x+3x+ 2x = 0 a. Good guesses: b. # of positive roots: 0 C. # of negative roots: O d. # of…

A:

Q: 9. Solve each of the following quadratic equations. a. z - 8z + 15 = o b. 2z - 5z - 6 = 0

A:

Q: Select the correct answer. What are the roots of this equation? r2 - 4x + 9 = 0 %3D O A. 1+ iV5 O B.…

A:

Q: re cube roots of unity, tl w?) is

A:

Q: 5. Solve each of the following equations. Be sure to check for extraneous roots. x+1 -+ - =- х-3 1…

A:

Q: Solve the following equation. Select the correct choice below and, if necessary, fill in the answer…

A: (X+12)2=14 so taking square root on bothe sides we have  [ (X+12)2 ]1/2 =141/2 (X+12)=±√14 so X=…

Q: For what value of a, the equation (a - a - 2)x + (a² - 4)x+a² - 3a+2=0 will have more than two…

A: We need to find the value of a for which equation will have more than 2 solutions and identity.

Q: Solve. (721² + 1)²-74 (721² +1) + 73=0 The solutions are t = (Type an integer or a simplified…

A:

Q: Find all the solutions of the equation 4cos?0 – 1 = 0 a. + Tn, * + an 6 O b. + 2rn, 2 + 27n 3 3 +…

A:

Q: To solve a quadratic equation using the quadratic formula: 1. Write down the values for a, b, and c.…

A: Given : A quadratic equation. To find : value of x using the quadratic formula.

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.