What is the answer to 2x^2-2sqrt(6x)+3=0 ?

The answer to 2x^2-2sqrt(6x)+3=0 is x\approx 0.52625…,x\approx 0.92537…

Solve for x: 2x^2-2sqrt(6x)+3=0

The solution is x\approx 0.52625…,x\approx 0.92537…

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2 x^{2} - 2 6 x + 3 = 0

x \approx 0.52625 \dots, x \approx 0.92537 \dots

Solution steps

2 x^{2} - 2 6 x + 3 = 0

Remove square roots

24 x = 4 x^{4} + 12 x^{2} + 9

Solve

24 x = 4 x^{4} + 12 x^{2} + 9 : x \approx 0.52625 \dots, x \approx 0.92537 \dots

x \approx 0.52625 \dots, x \approx 0.92537 \dots

Verify Solutions:

x \approx 0.52625 \dots

True

, x \approx 0.92537 \dots

True

The solutions are

x \approx 0.52625 \dots, x \approx 0.92537 \dots

6 x^{2} + 7 5 x + 10 = 0

x - 3 = 5 - x

x^{\frac{- 3}{4}} = \frac{1}{8}

x + x - 1 = 1

\frac{x ^{2}}{5 - 7 x ^{\frac{1}{5}} + 10} = 0

What is the answer to 2x^2-2sqrt(6x)+3=0 ?
The answer to 2x^2-2sqrt(6x)+3=0 is x\approx 0.52625…,x\approx 0.92537…
Solve for x: 2x^2-2sqrt(6x)+3=0
The solution is x\approx 0.52625…,x\approx 0.92537…