How do you solve sqrt(5+x) + sqrt(x) = 5√5+x+√x=5?

1 Answer
Alan N.
Oct 12, 2015

X = 4

Explanation:

sqrt(5+x) + sqrt(x)√5+x+√x = 5
sqrt(5+x) = 5 - sqrt(x)√5+x=5−√x

Squaring both sides:
5+x = 25 - 10 sqrt(x) + x5+x=25−10√x+x
5 = 25 - 10 sqrt(x)5=25−10√x
1 = 5 - 2sqrt(x)1=5−2√x
2 sqrt(x) = 42√x=4
sqrt(x) = 2√x=2
x = 4x=4

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