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

The answer to sqrt(\sqrt{x+4)+x}=4 is x=12

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

x + 4 + x = 4

x = 12

Solution steps

x + 4 + x = 4

Remove square roots

x + 4 = 256 - 32 x + x^{2}

Solve

x + 4 = 256 - 32 x + x^{2} : x = 21, x = 12

x = 21, x = 12

Verify Solutions:

x = 21

False

, x = 12

True

The solution is

x = 12

x + 2 + 3 = 0

2 x - 4 x + 1 = 4

8 x + 57 = x + 8

x = 2 x + 1

2 x - 3 - x + 7 = 0

What is the answer to sqrt(\sqrt{x+4)+x}=4 ?
The answer to sqrt(\sqrt{x+4)+x}=4 is x=12
Solve for x: sqrt(\sqrt{x+4)+x}=4
The solution is x=12