SOLUTION: solve if it is an equation if not, simplify it. thank you. 26) (x + 3)^-1/3 = -1 24) 25^3/2 = (square root) 22) x = SR(1-8x) + 2

Algebra ->  Expressions-with-variables -> SOLUTION: solve if it is an equation if not, simplify it. thank you. 26) (x + 3)^-1/3 = -1 24) 25^3/2 = (square root) 22) x = SR(1-8x) + 2      Log On


   

Question 179117: solve if it is an equation if not, simplify it. thank you.
26) (x + 3)^-1/3 = -1
24) 25^3/2 =
(square root) 22) x = SR(1-8x) + 2
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
26) (x + 3)^-1/3 = -1
Raise both sides to the -3 power to get:
x+3 = -1
x = -4
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24) 25^3/2 = 5^3 = 125
----------------------------------
22) x = SR(1-8x) + 2
SR(1-8x) = x-2
Square both sides to get:
1-8x = x^2 -4x + 4
x^2 + 4x +3 = 0
(x+1)(x+3) = 0
x = -1 or x = -3
===============================
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!



Negative exponents signify the reciprocal and fractional exponents signify roots, so the following is an equivalent equation:



Just raise each side to the 3rd power:



Multiply both sides by x + 3:



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Add -2 to both sides:



Square both sides:



Add -(1 - 8x) to both sides:



Factor:



or

John