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

The answer to -x^2+2=-sqrt(x) is x\approx 1.83117…

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

- x^{2} + 2 = - x

x \approx 1.83117 \dots

Solution steps

- x^{2} + 2 = - x

Square both sides:

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

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

Solve

x^{4} - 4 x^{2} + 4 = x : x = 1, x \approx 1.83117 \dots

x = 1, x \approx 1.83117 \dots

Verify Solutions:

x = 1

False

, x \approx 1.83117 \dots

True

The solution is

x \approx 1.83117 \dots

x + 1 - 2 x - 5 = 1

2 x - 3 = 10 x - 1

x + 3 = x + 12

4 z - 1 = 25 z^{2} - 14 z + 2

What is the answer to -x^2+2=-sqrt(x) ?
The answer to -x^2+2=-sqrt(x) is x\approx 1.83117…
Solve for x: -x^2+2=-sqrt(x)
The solution is x\approx 1.83117…