What is the answer to x^2+3sqrt(3x)-30=0 ?

The answer to x^2+3sqrt(3x)-30=0 is x\approx 4.37408…

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x^2+3sqrt(3x)-30=0

x^{2} + 3 3 x - 30 = 0

x \approx 4.37408 \dots

Solution steps

x^{2} + 3 3 x - 30 = 0

Remove square roots

27 x = x^{4} - 60 x^{2} + 900

Solve

27 x = x^{4} - 60 x^{2} + 900 : x \approx 4.37408 \dots, x \approx 6.58267 \dots

x \approx 4.37408 \dots, x \approx 6.58267 \dots

Verify Solutions:

x \approx 4.37408 \dots

True

, x \approx 6.58267 \dots

False

The solution is

x \approx 4.37408 \dots

x x + x - x = 2 x

b = - x - 4 x

(x + 28)^{\frac{1}{3}} - (x - 28)^{\frac{1}{3}} = 2

x^{2} = 3

x^{2} = 7

What is the answer to x^2+3sqrt(3x)-30=0 ?
The answer to x^2+3sqrt(3x)-30=0 is x\approx 4.37408…
Solve for x: x^2+3sqrt(3x)-30=0
The solution is x\approx 4.37408…