SOLUTION: here is the problem im unsure of how to do.. Solve the equation and check for extraneous solutions: 3(x-5)^3/2-6=18 i really dont know how to do this. If you could help m

Question 440168: here is the problem im unsure of how to do..
Solve the equation and check for extraneous solutions:
3(x-5)^3/2-6=18
i really dont know how to do this. If you could help me that would be great. Thank you
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
3(x-5)^3/2-6=18
add 6 to both sides
3(x-5)^3/2=24
divide both sides by 3
(x-5)^3/2=8
square both sides
(x-5)^3=64
get the cube roots
x-5=
x-5=4
x=9
(x-5)^3-64 = 0
x^3-15 x^2+75 x-189 = 0
x = 3-2 i sqrt(3)
x = 3+2 i sqrt(3)
x=9

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