What is the answer to sqrt(x+4\sqrt{x-4)}=5 ?

The answer to sqrt(x+4\sqrt{x-4)}=5 is x=13

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sqrt(x+4\sqrt{x-4)}=5

x + 4 x - 4 = 5

x = 13

Solution steps

x + 4 x - 4 = 5

Remove square roots

16 x - 64 = 625 - 50 x + x^{2}

Solve

16 x - 64 = 625 - 50 x + x^{2} : x = 53, x = 13

x = 53, x = 13

Verify Solutions:

x = 53

False

, x = 13

True

The solution is

x = 13

3 x + 13 = x + 1

8 m + 10 - 3 = 2

4 + c - 1 = \frac{16}{3}

0.006 n^{1.6} + 0.2 n = 40

x x + 9 + 18 = 18

What is the answer to sqrt(x+4\sqrt{x-4)}=5 ?
The answer to sqrt(x+4\sqrt{x-4)}=5 is x=13
Solve for x: sqrt(x+4\sqrt{x-4)}=5
The solution is x=13