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

The answer to 5x^2+sqrt(3x)-3sqrt(3)=3x is x\approx 1.16875…

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5x^2+sqrt(3x)-3sqrt(3)=3x

5 x^{2} + 3 x - 33 = 3 x

x \approx 1.16875 \dots

Solution steps

5 x^{2} + 3 x - 33 = 3 x

Remove square roots

3 x = - 30 x^{3} + 25 x^{4} - 303 x^{2} + 9 x^{2} + 183 x + 27

Solve

3 x = - 30 x^{3} + 25 x^{4} - 303 x^{2} + 9 x^{2} + 183 x + 27 : x \approx 1.16875 \dots, x \approx 1.54915 \dots

x \approx 1.16875 \dots, x \approx 1.54915 \dots

Verify Solutions:

x \approx 1.16875 \dots

True

, x \approx 1.54915 \dots

False

The solution is

x \approx 1.16875 \dots

x^{2} - 2 5 x + 4 = 0

x = - 1

2 p^{\frac{1}{3}} = 6

x = 2 x + 15

3 x = 6

What is the answer to 5x^2+sqrt(3x)-3sqrt(3)=3x ?
The answer to 5x^2+sqrt(3x)-3sqrt(3)=3x is x\approx 1.16875…
Solve for x: 5x^2+sqrt(3x)-3sqrt(3)=3x
The solution is x\approx 1.16875…