What is the answer to x^2+2sqrt(3x)=13 ?

The answer to x^2+2sqrt(3x)=13 is x\approx 2.70277…

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x^2+2sqrt(3x)=13

x^{2} + 2 3 x = 13

x \approx 2.70277 \dots

Solution steps

x^{2} + 2 3 x = 13

Remove square roots

12 x = 169 - 26 x^{2} + x^{4}

Solve

12 x = 169 - 26 x^{2} + x^{4} : x \approx 4.51201 \dots, x \approx 2.70277 \dots

x \approx 4.51201 \dots, x \approx 2.70277 \dots

Verify Solutions:

x \approx 4.51201 \dots

False

, x \approx 2.70277 \dots

True

The solution is

x \approx 2.70277 \dots

3 x + 3 x^{- \frac{1}{2}} = 10

x - x - 5 = 0

\frac{2}{x} - 1 = 0

x + 1 - 2 x - 4 = 0

What is the answer to x^2+2sqrt(3x)=13 ?
The answer to x^2+2sqrt(3x)=13 is x\approx 2.70277…
Solve for x: x^2+2sqrt(3x)=13
The solution is x\approx 2.70277…