# 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.

## 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