What is the answer to sqrt(2x)=2x-4 ?

The answer to sqrt(2x)=2x-4 is x=(9+sqrt(17))/4

Solve for x: sqrt(2x)=2x-4

The solution is x=(9+sqrt(17))/4

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2 x = 2 x - 4

x = \frac{9 + 17}{4}

Decimal Notation

x = 3.28077 \dots

Solution steps

2 x = 2 x - 4

Square both sides:

2 x = 4 x^{2} - 16 x + 16

2 x = 4 x^{2} - 16 x + 16

Solve

2 x = 4 x^{2} - 16 x + 16 : x = \frac{9 + 17}{4}, x = \frac{9 - 17}{4}

x = \frac{9 + 17}{4}, x = \frac{9 - 17}{4}

Verify Solutions:

x = \frac{9 + 17}{4}

True

, x = \frac{9 - 17}{4}

False

The solution is

x = \frac{9 + 17}{4}

x^{2} - 6 x + 9 = x

5 + y = y + 55

2 x + 2 x + 1 x + 3 + 4 = 0

x - 3 x = 1

What is the answer to sqrt(2x)=2x-4 ?
The answer to sqrt(2x)=2x-4 is x=(9+sqrt(17))/4
Solve for x: sqrt(2x)=2x-4
The solution is x=(9+sqrt(17))/4