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

The answer to sqrt(3)*x^2-2sqrt(2x)-2sqrt(3)=0 is x\approx 2.08797…

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

3 \cdot x^{2} - 2 2 x - 23 = 0

x \approx 2.08797 \dots

Solution steps

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

Remove square roots

8 x = 3 x^{4} - 12 x^{2} + 12

Solve

8 x = 3 x^{4} - 12 x^{2} + 12 : x \approx 2.08797 \dots, x \approx 0.75950 \dots

x \approx 2.08797 \dots, x \approx 0.75950 \dots

Verify Solutions:

x \approx 2.08797 \dots

True

, x \approx 0.75950 \dots

False

The solution is

x \approx 2.08797 \dots

3 x = 23 + x

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

x^{\frac{2}{5}} + 8 = 6 x^{\frac{1}{5}}

x^{\frac{1}{4}} = 2

x^{\frac{1}{2}} = 4 9^{\frac{1}{24}}

What is the answer to sqrt(3)*x^2-2sqrt(2x)-2sqrt(3)=0 ?
The answer to sqrt(3)*x^2-2sqrt(2x)-2sqrt(3)=0 is x\approx 2.08797…
Solve for x: sqrt(3)*x^2-2sqrt(2x)-2sqrt(3)=0
The solution is x\approx 2.08797…