What is the answer to x^2-4sqrt(2x)-10=0 ?

The answer to x^2-4sqrt(2x)-10=0 is x\approx 4.72140…

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x^2-4sqrt(2x)-10=0

x^{2} - 4 2 x - 10 = 0

x \approx 4.72140 \dots

Solution steps

x^{2} - 4 2 x - 10 = 0

Remove square roots

32 x = x^{4} - 20 x^{2} + 100

Solve

32 x = x^{4} - 20 x^{2} + 100 : x \approx 1.65202 \dots, x \approx 4.72140 \dots

x \approx 1.65202 \dots, x \approx 4.72140 \dots

Verify Solutions:

x \approx 1.65202 \dots

False

, x \approx 4.72140 \dots

True

The solution is

x \approx 4.72140 \dots

\frac{x}{2} + 3 = 2

x - 3 x - 10 = 0

3 = 4 + (1 + y)^{2}

4 2 x + 3 = 6 x + 1

y, x = y^{2} + 2 y

What is the answer to x^2-4sqrt(2x)-10=0 ?
The answer to x^2-4sqrt(2x)-10=0 is x\approx 4.72140…
Solve for x: x^2-4sqrt(2x)-10=0
The solution is x\approx 4.72140…