Matia K.

asked • 02/16/15# how do you solve square root of (x) - square root of (5) =square root of (x-5)

I do not know how to undo the problem by squaring both sides. I keep getting 0=-10 or another untrue statement.

√x - √5 =√(x - 5)

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## 2 Answers By Expert Tutors

Kevin C. answered • 02/16/15

Tutor

5.0
(738)
Successful Math Tutor -- Recently retired high school math teacher

Hi, Matia.

If you take the equation and square both sides, here is what happens:

(√x - √5)

^{2}= (√x-5)^{2}becomes: x -2√(5x) + 5 = x-5So, subtract x and subtract 5: -2√(5x) = -10

Square both sides: 4(5x) = 100, or 20x = 100.

Therefore: x = 5.

Check: √5 - √5 = √(5 - 5)

0 = 0

Does this make sense? I hope so. If not, please let me know.

Patrick L. answered • 02/16/15

Tutor

5.0
(84)
A patient and effective Math and Computer/Electronics Tutor

ignore mine

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Mark M.

02/16/15