What is the answer to x^2-2sqrt(2x)-2sqrt(3)=0 ?

The answer to x^2-2sqrt(2x)-2sqrt(3)=0 is x\approx 2.87384…

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x^2-2sqrt(2x)-2sqrt(3)=0

x^{2} - 2 2 x - 23 = 0

x \approx 2.87384 \dots

Solution steps

x^{2} - 2 2 x - 23 = 0

Remove square roots

8 x = x^{4} - 43 x^{2} + 12

Solve

8 x = x^{4} - 43 x^{2} + 12 : x \approx 2.87384 \dots, x \approx 0.89111 \dots

x \approx 2.87384 \dots, x \approx 0.89111 \dots

Verify Solutions:

x \approx 2.87384 \dots

True

, x \approx 0.89111 \dots

False

The solution is

x \approx 2.87384 \dots

y^{2} = \frac{5}{2 \cdot lo g _{2} ( 16 ) + 5.4}

2 \cdot x^{2} - 4 3 x + 42 = 0

x + 6 = 121 - 36

x^{\frac{1}{3}} = - 2

3 x - 2 - 6 = 0

What is the answer to x^2-2sqrt(2x)-2sqrt(3)=0 ?
The answer to x^2-2sqrt(2x)-2sqrt(3)=0 is x\approx 2.87384…
Solve for x: x^2-2sqrt(2x)-2sqrt(3)=0
The solution is x\approx 2.87384…