What is the answer to 2x^2-sqrt(11x)-3=0 ?

The answer to 2x^2-sqrt(11x)-3=0 is x\approx 1.95398…

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2x^2-sqrt(11x)-3=0

2 x^{2} - 11 x - 3 = 0

x \approx 1.95398 \dots

Solution steps

2 x^{2} - 11 x - 3 = 0

Remove square roots

11 x = 4 x^{4} - 12 x^{2} + 9

Solve

11 x = 4 x^{4} - 12 x^{2} + 9 : x \approx 0.53537 \dots, x \approx 1.95398 \dots

x \approx 0.53537 \dots, x \approx 1.95398 \dots

Verify Solutions:

x \approx 0.53537 \dots

False

, x \approx 1.95398 \dots

True

The solution is

x \approx 1.95398 \dots

3 x + 2 x - 2 = 2 2 x - 2 + 23

17 - 2 3 x + 10 = 1

3 x - 14 = - 5

5 x^{2} + 3 x = 4 x x^{2} + 3 x + 16

x + 4 - 3 = 2

What is the answer to 2x^2-sqrt(11x)-3=0 ?
The answer to 2x^2-sqrt(11x)-3=0 is x\approx 1.95398…
Solve for x: 2x^2-sqrt(11x)-3=0
The solution is x\approx 1.95398…