What is the answer to x-4sqrt(x+4)=0 ?

The answer to x-4sqrt(x+4)=0 is x=8(1+sqrt(2))

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x-4sqrt(x+4)=0

x - 4 x + 4 = 0

x = 8 (1 + 2)

Decimal Notation

x = 19.31370 \dots

Solution steps

x - 4 x + 4 = 0

Remove square roots

16 x + 64 = x^{2}

Solve

16 x + 64 = x^{2} : x = 8 (1 + 2), x = 8 (1 - 2)

x = 8 (1 + 2), x = 8 (1 - 2)

Verify Solutions:

x = 8 (1 + 2)

True

, x = 8 (1 - 2)

False

The solution is

x = 8 (1 + 2)

2 x - 2 x - 3 = x + 2

2 x^{2} + x + 1 = 1

8 x^{\frac{3}{2}} - 40 = 0

\frac{1}{5} = x^{\frac{1}{3}}

x + 32 - x - 8 = 4

What is the answer to x-4sqrt(x+4)=0 ?
The answer to x-4sqrt(x+4)=0 is x=8(1+sqrt(2))
Solve for x: x-4sqrt(x+4)=0
The solution is x=8(1+sqrt(2))