SOLUTION: Find all solutions to the equation: x - 10 sqrt(x) + 25 = 0 I figured out via guess and check that x = 25 but how do i solve for it using algebra? also is there more then one

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Question 683434: Find all solutions to the equation:
x - 10 sqrt(x) + 25 = 0
I figured out via guess and check that x = 25 but how do i solve for it using algebra? also is there more then one answer?

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
use the theorem





...in your case is actually , and is
so, you have:

this will be equal to zero if
so, we have
....raise both sides to the power of two



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

x - 10 sqrt(x) + 25 = 0
I figured out via guess and check that x = 25 but how do i solve for it using algebra? also is there more then one answer?



------ Adding

------ Squaring both sides







(x - 25)(x - 25) = 0



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