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

The answer to -x^2+2x=-4sqrt(x) is x=0,x=4

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-x^2+2x=-4sqrt(x)

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

x = 0, x = 4

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 = 4

x = 0, x = 4

Verify Solutions:

x = 0

True

, x = 4

True

The solutions are

x = 0, x = 4

x + 2 x + 1 = 7

3 x - x = 6 - 2 x

- 14 + 6 3 x + 7 = - 2

x + 7 + x - 2 = 9

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