SOLUTION: find all the values of x satisfying the given conditions y=(x+4)^(3/2) and y=8

Question 687983: find all the values of x satisfying the given conditions y=(x+4)^(3/2) and y=8
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
To find x, first replace 8 for y:

Next, to make things easier to see, convert the exponent to a radical:

Since we want to isolate x by itself on one side of the equation, let's first take the cube root of both sides, to get rid of the 3rd power on the right side of the equation. This will give us:

Next, we will square both sides to get rid of the square root on the right side of our equation. This will give us:

Subtract 4 from both sides and this will give us our solution for x:

. So, x = 0

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