What is the answer to sqrt(2+\sqrt{x-5)}=sqrt(13-x) ?

The answer to sqrt(2+\sqrt{x-5)}=sqrt(13-x) is x=9

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sqrt(2+\sqrt{x-5)}=sqrt(13-x)

2 + x - 5 = 13 - x

x = 9

Solution steps

2 + x - 5 = 13 - x

Remove square roots

x - 5 = x^{2} - 22 x + 121

Solve

x - 5 = x^{2} - 22 x + 121 : x = 14, x = 9

x = 14, x = 9

Verify Solutions:

x = 14

False

, x = 9

True

The solution is

x = 9

9 + x = 15

3 x - 2 = 4

4 x + 32 - 12 = - 8

2 n - 88 = \frac{n}{6}

\frac{1}{2 x} - \frac{1}{5} = 0

What is the answer to sqrt(2+\sqrt{x-5)}=sqrt(13-x) ?
The answer to sqrt(2+\sqrt{x-5)}=sqrt(13-x) is x=9
Solve for x: sqrt(2+\sqrt{x-5)}=sqrt(13-x)
The solution is x=9