Saturday

April 19, 2014

April 19, 2014

Posted by **Sam'** on Wednesday, August 22, 2012 at 6:54am.

Help?

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

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

- Algebra2 -
**Reiny**, Wednesday, August 22, 2012 at 8:04am1.

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.

**Related Questions**

Algebra2 - Help Solving This? 1. √x+4 = √x-1+1 2.2√n + 3 = n 5...

Algebra2 - Help Solving This? 1.√3-x = 2-√x+1 2.2√n + 3 = n 5 ...

Algebra - Help Pleasee! Rational Exponet equations 1. 3x^5/2- 9 = 0 2. (2x+3)^1/...

MATH - Solve system of equations algebraically. 1. 3x-3y=24 and 2x+5y=-37 2. -9x...

algebra2 - 9x(squared)+3x+16=0 factoring quadratic equations

Rational root theorem - X^3+5x^2-9x-45

College Algebra - The problem is to find the domain of 2x+7 / x^3-5x^2-9x+18. I ...

Algebra - Reduce the rational expression to lowest terms 3x^2-9x+6/10-5x

algebra - Reduce each rational expression to lowest terms 3x^2-9x+6/10-5x

algebra - Reduce each rational expression to lowest terms 3x^2-9x+6/10-5x