SOLUTION: what is the cube root of x+2 =6 what is the 5th power of x^2 -13 =1 what is the sq.root of 2x + 5 - the sq. root of x-2 = 3

Algebra ->  Square-cubic-other-roots -> SOLUTION: what is the cube root of x+2 =6 what is the 5th power of x^2 -13 =1 what is the sq.root of 2x + 5 - the sq. root of x-2 = 3       Log On


   

Question 125580: what is the cube root of x+2 =6

what is the 5th power of x^2 -13 =1

what is the sq.root of 2x + 5 - the sq. root of x-2 = 3


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the cube root of x+2 =6
cube both sides to get x+2 = 216
x = 214
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what is the 5th power of x^2 -13 =1
Take the 5th root of both sides to get:
x^2-13 = 1
x^2 = 14
x = sqrt(14) or x=-sqrt(14)
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what is the sq.root of 2x + 5 - the sq. root of x-2 = 3
sqrt(2x+5) - sqrt(x-2) = 3
Square both sides to get:
(2x+5)+(x-2)-2sqrt(2x^2+x-10) = 9
2sqrt(2x^2+x-10) = 3x-6
Square both sides to get:
4(2x^2+x-10) = 9x^2-36x+36
x^2-40x+76 = 0
(x-2)(x-38)=0
x = 2 or x=38
Both answers check
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Cheers,
Stan H.