SOLUTION: (x + 3)^(1/3) = (x - 1)^(1/2), find the value of x.
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Question 1136785: (x + 3)^(1/3) = (x - 1)^(1/2), find the value of x.
Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The intersection of two equations will give us the solution for x
:
(x+3)^(1/3) is in red and (x-1)^(1/2) is in green
:
:
x = 5 is the solution
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check the answer
:
(5+3)^(1/3) = (5-1)^(1/2)
:
8^(1/3) = 4^(1/2)
:
2 = 2
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answer checks
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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(x + 3)^(1/3) = (x - 1)^(1/2), find the value of x.
--------
Raise to the 6th power:
(x + 3)^2 = (x - 1)^3
x^2 + 6x + 9 = x^3 - 3x^2 + 3x - 1
x^3 - 4x^2 - 3x - 10 = 0
x = 5
===========
x^2 + x + 2 = 0
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