1 If x is a real number, then is x² + x4 equal to а. V1 + x² b. 1 xV1+ x? c. xV1+x² d. æ|/1+ x² 1 е. |x|V1+x? O f. 1 xVx + x²

Q: Solve for r. 2x - 10 R x+8 -1 О-11 O 9 O 1

A:

Q: If a,b,c,d are in distinct real number in A.P. Such that 2(a-b)+c(b-c) +(c-a) =2(a-d)+(b-d) +(c-d)'…

A:

Q: Determine the value of the expression √√x² + y² when x = 7 and y = 4. 2 Oa. 56 O b. O C. O d. √26…

A:

Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: Perform the indicated operations. Write the answer using only positive exponents. Assume all…

A:

Q: at a, b and c be real numbers such that a #0 and ac+bc+c 4ac.

A: Given data is : a , b and c are real number such that a≠0 and ac+bc+c2<0 Show that b2>4ac

Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: 3. If the expression was placed in the form ax where a and b are real numbers, then which of the 2x…

A:

Q: Prove that 1+6x-x is always a positive real number if x =3+Ai for some real 33 number 4

A: The given number is  1 + 6x - x2

Q: Disprove the statement: There is a real number x such that xº +x* +1 = 2x².

A:

Q: 19. Which of the following properties of Real Numbers is NOT true ? * a. Vx ER, x+0 = x b. Vx, y, z…

A:

Q: Simplify and state the restrictions on the variable. 25 x + 10 x - 1 b) a) 2x x + 10 X - 1 х — x + 5…

A:

Q: Solve for x. 7) C. 6x- 1 10x+24

A: Here given figure as

Q: a.Given an integer a, then a² + 4a + 5 is odd if and only if a is even. b. There exists a positive…

A: Since you have posted multiple subpart questions, we will solve the first three questions for you.…

Q: IfÂ=ax+ißP,, where a and B are real then (axR+1BP,x]is -hB

A:

Q: prove the following statement.

A:

Q: Solve for z. 96+x O 6 10 6. 11 12 13 14 15

A: We have to find

Q: Simplify. Assume that all variables represent postive  Real numbers

A: As per our guide lines, we'll able to solve only one question. Please upload the question again.

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: B. Find a number that provides a counterexample to show that a given statement is false x, x³…

A: For all number x, (x+1)(x-1) over (x-1) is equals to x+1

Q: Check if the following statement is TRUE or FALSE. 2 Let X and Y be two real numbers satisfying x² +…

A:

Q: Let * be the operation on the set of real number defined by a * b = 2a + 4b – ab. (a * b) * c = А.…

A: Operation * is defined by a*b=2a+4b-ab for all real number we have to find the value of (a*b)*c…

Q: 7. Write each expression in the form of a+ bi -V-27 +5V- 81 – 343 – V64 b. -9--27-2-729 – V49 c. -3…

A: According to question given :(a) --273+5-81-3433-64We know that -27=-33,81=92 , 343=73,…

Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a>39 or b>60. Let…

Q: Solve | 3-x| 2 5. O A. The set of real numbers B. Ø OC. {x|x28 or xs-2} O D. (x|x> 8 or x<-2} O E.…

A:

Q: z²+15 c. z²-4z-45 2.

A: Given z2+15z2-4z-45Lets equate the numerator and denominator to zeroz2+15=0z2=-15z=±3.87i