SOLUTION: 12 = 1/32 * x ^ (3/2) - 4

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Question 1204178: 12 = 1/32 * x ^ (3/2) - 4
Found 4 solutions by Theo, mananth, MathTherapy, greenestamps:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
equation is:

1/32 * x ^ (3/2) - 4 = 12
add 4 to both sides to get:
1/32 * x ^ (3/2) = 16
multiply both sides by 32 to get:
x ^ (3/2) = 16 * 32 = 512
raise both sides by the power of (2/3) to get:
(x ^ (3/2)) ^ (2/3) = 512 ^ (2/3)
simplify to get:
x ^ ((3/2) * (2/3)) = 512 ^ (2/3)
simplify further to get:
x = 512 ^ (2/3)
solve for x to get:
x = 64

confirm by replacing x with 64 n the original equation to get:
1/32 * 64 ^ (3/2) - 4 = 12 becomes 12 = 12, confirming the value of x is good.

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!


multiply by 32









8^6 =x^3
Take cube root
x=64
CHECK




= 12



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
12 = 1/32 * x ^ (3/2) - 4

I'd presume you're seeking the value of x. Is it that difficult to say so?

          
           ------ Cross-multiplying
           
    ------ Multiplying exponents by 
 
             x = 26 = 64
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




Add 4 to both sides



Multiply by 32





Raise each expression to the (2/3) power



ANSWER: 64
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