What is the answer to sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0 ?

The answer to sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0 is x=7

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sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0

4 x + 2 - 2 x - 4 = 0

x = 7

Solution steps

4 x + 2 - 2 x - 4 = 0

Remove square roots

16 x + 32 = 16 x^{2} - 128 x + 256

Solve

16 x + 32 = 16 x^{2} - 128 x + 256 : x = 7, x = 2

x = 7, x = 2

Verify Solutions:

x = 7

True

, x = 2

False

The solution is

x = 7

x + 17 = - 4

2 x - 4 = x - 2

6 L^{\frac{7}{2}} = 48 L^{2}

- 10 + x = - 6

What is the answer to sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0 ?
The answer to sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0 is x=7
Solve for x: sqrt(4\sqrt{x+2)}-2sqrt(x-4)=0
The solution is x=7