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

The answer to x^2+sqrt(3x)-3sqrt(3)=3x is x\approx 3.54565…

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

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

x \approx 3.54565 \dots

Solution steps

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

Remove square roots

3 x = - 6 x^{3} + x^{4} - 63 x^{2} + 9 x^{2} + 183 x + 27

Solve

3 x = - 6 x^{3} + x^{4} - 63 x^{2} + 9 x^{2} + 183 x + 27 : x \approx 3.54565 \dots, x \approx 4.85603 \dots

x \approx 3.54565 \dots, x \approx 4.85603 \dots

Verify Solutions:

x \approx 3.54565 \dots

True

, x \approx 4.85603 \dots

False

The solution is

x \approx 3.54565 \dots

2 y^{2} - 7 = 5

2 d = 1 - d + 7

x - 2 x = 4

15 - 2 a = 8 - a

(x + 2)^{\frac{4}{3}} = 16

What is the answer to x^2+sqrt(3x)-3sqrt(3)=3x ?
The answer to x^2+sqrt(3x)-3sqrt(3)=3x is x\approx 3.54565…
Solve for x: x^2+sqrt(3x)-3sqrt(3)=3x
The solution is x\approx 3.54565…