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

The answer to sqrt(\sqrt{x-5)+x}=5 is x=21

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

x - 5 + x = 5

x = 21

Solution steps

x - 5 + x = 5

Remove square roots

x - 5 = 625 - 50 x + x^{2}

Solve

x - 5 = 625 - 50 x + x^{2} : x = 30, x = 21

x = 30, x = 21

Verify Solutions:

x = 30

False

, x = 21

True

The solution is

x = 21

2 x + 6 - x + 4 = 1

2 x + 4 x - 3 = 3

2 x + 1 = 3

x + 4 x + 1 = 5

x + 1 - 3 x = 1

What is the answer to sqrt(\sqrt{x-5)+x}=5 ?
The answer to sqrt(\sqrt{x-5)+x}=5 is x=21
Solve for x: sqrt(\sqrt{x-5)+x}=5
The solution is x=21