SOLUTION: Stuck on these quadratic equations.... Trying to find exact solutions. X-5{sqrt}x-24=0 {sqrt}(6+2n)-2=2

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Question 887856: Stuck on these quadratic equations....
Trying to find exact solutions.
X-5{sqrt}x-24=0
{sqrt}(6+2n)-2=2
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
x-5sqrt%28x%29-24=0
Substitute from assigning u=sqrt%28x%29.
u%5E2-5u-24=0
%28u%2B3%29%28u-8%29=0

u=-3
sqrt%28x%29=-3=i%5E2%2A3
highlight%28x=9%29

u=8
sqrt%28x%29=8
highlight%28x=64%29

You should check each of these solutions of x to be sure each does or does not really satisfy the equation.