Algebra2

posted by .

Rational Exponet Equations:
Help?

1.(x^2+9x+22)^3/2 = 8

2.(5x-5)^2/3 = 16

  • Algebra2 -

    1.
    raise both sides to the 2/3 , notice that 2/3 is the reciprocal of 3/2

    [ (x^2 + 9x + 22)^(3/2) ] ^(2/3) = 8^(2/3)
    (x^2 + 9x + 22)^1 = 8^(2/3)

    x^2+9x+22 = 4
    x^2 + 9x + 18 = 0
    (x+6)(x+3) = 0
    x = -6 or x = -3

    Since we effectively squared both sides, ( ^(2/3) is the same as taking the cube root, then squaring), all answers must be verified.

    if x = -6
    LS = (36 - 54 + 22)^(3/2
    = 4^(3/2) = 8
    = RS

    if x=-3
    LS = (9-27+22)^(3/2)
    = 4^(3/2) = 8
    = RS

    so x=-6 or x=-3

    You try the second one in the same way.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2

    Simplify Each Expression. Rationalize all denominators. Assume that all variables are positive. 3 times the square root of 11x^3y (the three is an exponet) over -2 times the square root of 12x^4y (the 4 is an exponet)
  2. algebra2

    list all of the possible rational zeros of f(x) = 3x^5 - 7x^3 + 2x - 15.
  3. Algebra2

    How do I solve this rational exponent equation?
  4. Algebra2

    Help Solving This? 1.√3-x = 2-√x+1 2.2√n + 3 = n 5 Rational Exponet Equations: 1.3x^5/2 - 9 = 0 2.(2x+3)^1/4=4
  5. Algebra

    Help Pleasee! Rational Exponet equations 1. 3x^5/2- 9 = 0 2. (2x+3)^1/2=4 Equations With rational expressions: 1. 3/x+3 - 1/x-2 = 5/2x+6
  6. Algebra2

    Help Solving This? 1. √x+4 = √x-1+1 2.2√n + 3 = n 5 Rational Exponet Equations: 1.3x^5/2 - 9 = 0 2.(2x+3)^1/4=4
  7. math exam tommrow review

    (2*4) with a exponet of 2 ------ 7+3 with a exponet of 2
  8. maths

    Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0 are rational.
  9. math

    answer these or you don't have to just need some help?
  10. Rational Exponent - Formula/Equations

    Is there some equations and/or formula's that can help me when doing Rational Exponents?

More Similar Questions