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

The answer to x^2-1-sqrt(2x)=0 is x\approx 1.68377…

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

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

x \approx 1.68377 \dots

Solution steps

x^{2} - 1 - 2 x = 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

False

, x \approx 1.68377 \dots

True

The solution is

x \approx 1.68377 \dots

16 - 2 x = 2 + 36 + 6 x

5 + 2 x + 5 = x

6 x + 16 + 3 x = 4 x

5 = (2 + 1)^{2} + (k - 1)^{2}

\frac{x ^{3} - 1}{x - 1} = 6.5

What is the answer to x^2-1-sqrt(2x)=0 ?
The answer to x^2-1-sqrt(2x)=0 is x\approx 1.68377…
Solve for x: x^2-1-sqrt(2x)=0
The solution is x\approx 1.68377…