What is the answer to -x^2-sqrt(2x)+1=0 ?

The answer to -x^2-sqrt(2x)+1=0 is x\approx 0.37150…

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-x^2-sqrt(2x)+1=0

- x^{2} - 2 x + 1 = 0

x \approx 0.37150 \dots

Solution steps

- x^{2} - 2 x + 1 = 0

Remove square roots

2 x = x^{4} - 2 x^{2} + 1

Solve

2 x = x^{4} - 2 x^{2} + 1 : x \approx 0.37150 \dots, x \approx 1.68377 \dots

x \approx 0.37150 \dots, x \approx 1.68377 \dots

Verify Solutions:

x \approx 0.37150 \dots

True

, x \approx 1.68377 \dots

False

The solution is

x \approx 0.37150 \dots

8 x + 6 - 7 = - 79

7 x^{3} - 35 x^{\frac{5}{2}} = 0

5 = x - 2

6 x + 7 = 5

What is the answer to -x^2-sqrt(2x)+1=0 ?
The answer to -x^2-sqrt(2x)+1=0 is x\approx 0.37150…
Solve for x: -x^2-sqrt(2x)+1=0
The solution is x\approx 0.37150…