What is the answer to sqrt(\sqrt{x+6)+x}=6 ?

The answer to sqrt(\sqrt{x+6)+x}=6 is x=30

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sqrt(\sqrt{x+6)+x}=6

x + 6 + x = 6

x = 30

Solution steps

x + 6 + x = 6

Remove square roots

x + 6 = 1296 - 72 x + x^{2}

Solve

x + 6 = 1296 - 72 x + x^{2} : x = 43, x = 30

x = 43, x = 30

Verify Solutions:

x = 43

False

, x = 30

True

The solution is

x = 30

x + 2 + 4 = 6 - 2 - x

3 x = x + 6

x = 13

x = - 7

(x) = 15 x - 2 x^{2} - x^{3}

What is the answer to sqrt(\sqrt{x+6)+x}=6 ?
The answer to sqrt(\sqrt{x+6)+x}=6 is x=30
Solve for x: sqrt(\sqrt{x+6)+x}=6
The solution is x=30