What is the answer to sqrt(\sqrt{x+7)+x}=7 ?

The answer to sqrt(\sqrt{x+7)+x}=7 is x=42

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sqrt(\sqrt{x+7)+x}=7

x + 7 + x = 7

x = 42

Solution steps

x + 7 + x = 7

Remove square roots

x + 7 = 2401 - 98 x + x^{2}

Solve

x + 7 = 2401 - 98 x + x^{2} : x = 57, x = 42

x = 57, x = 42

Verify Solutions:

x = 57

False

, x = 42

True

The solution is

x = 42

0 = 2 x - 1

2 3 x - 2 - x + 2 = 3

5 + x = 9

x = \frac{1}{3} x

(x - 2)^{\frac{5}{2}} = 243

What is the answer to sqrt(\sqrt{x+7)+x}=7 ?
The answer to sqrt(\sqrt{x+7)+x}=7 is x=42
Solve for x: sqrt(\sqrt{x+7)+x}=7
The solution is x=42