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

The answer to -x^2-2x=-4sqrt(x) is x=0,x\approx 1.39124…

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

The solution is x=0,x\approx 1.39124…

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

x = 0, x \approx 1.39124 \dots

Solution steps

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

Square both sides:

x^{4} + 4 x^{3} + 4 x^{2} = 16 x

x^{4} + 4 x^{3} + 4 x^{2} = 16 x

Solve

x^{4} + 4 x^{3} + 4 x^{2} = 16 x : x = 0, x \approx 1.39124 \dots

x = 0, x \approx 1.39124 \dots

Verify Solutions:

x = 0

True

, x \approx 1.39124 \dots

True

The solutions are

x = 0, x \approx 1.39124 \dots

2 x + 4 = 8

3 (x + 7) = 9

2 5 x - 1 - x = 3

x - 20 x + 99 = 0

3 x - 1 = \frac{x - 1}{2}

What is the answer to -x^2-2x=-4sqrt(x) ?
The answer to -x^2-2x=-4sqrt(x) is x=0,x\approx 1.39124…
Solve for x: -x^2-2x=-4sqrt(x)
The solution is x=0,x\approx 1.39124…