What is the answer to 5x^2-3sqrt(3x)-6=0 ?

The answer to 5x^2-3sqrt(3x)-6=0 is x\approx 1.58359…

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5x^2-3sqrt(3x)-6=0

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

x \approx 1.58359 \dots

Solution steps

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

Remove square roots

27 x = 25 x^{4} - 60 x^{2} + 36

Solve

27 x = 25 x^{4} - 60 x^{2} + 36 : x \approx 0.61858 \dots, x \approx 1.58359 \dots

x \approx 0.61858 \dots, x \approx 1.58359 \dots

Verify Solutions:

x \approx 0.61858 \dots

False

, x \approx 1.58359 \dots

True

The solution is

x \approx 1.58359 \dots

\frac{6}{( x - 1 ) - 2 x - 1} = 1

\frac{2}{( 2 x + 1 ) + 1} = x

(1 + x)^{\frac{1}{3}} + (1 - x)^{\frac{1}{3}} = 2^{\frac{1}{3}}

d, b = r - r^{2} - d^{2}

[1.38 (64 + x^{2})^{\frac{1}{2}}] - 1 = 0

What is the answer to 5x^2-3sqrt(3x)-6=0 ?
The answer to 5x^2-3sqrt(3x)-6=0 is x\approx 1.58359…
Solve for x: 5x^2-3sqrt(3x)-6=0
The solution is x\approx 1.58359…