What is the answer to sqrt(2x+\sqrt{2x+4)}=4 ?

The answer to sqrt(2x+\sqrt{2x+4)}=4 is x=6

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sqrt(2x+\sqrt{2x+4)}=4

2 x + 2 x + 4 = 4

x = 6

Solution steps

2 x + 2 x + 4 = 4

Remove square roots

2 x + 4 = 256 - 64 x + 4 x^{2}

Solve

2 x + 4 = 256 - 64 x + 4 x^{2} : x = \frac{21}{2}, x = 6

x = \frac{21}{2}, x = 6

Verify Solutions:

x = \frac{21}{2}

False

, x = 6

True

The solution is

x = 6

x + 5 = 7

10 9 x = 60

x = 1 - x

x - 6 = 3 x

x - 2 = x - 4

What is the answer to sqrt(2x+\sqrt{2x+4)}=4 ?
The answer to sqrt(2x+\sqrt{2x+4)}=4 is x=6
Solve for x: sqrt(2x+\sqrt{2x+4)}=4
The solution is x=6