What is the answer to x^2+sqrt(5x)-10=0 ?

The answer to x^2+sqrt(5x)-10=0 is x\approx 2.53735…

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x^2+sqrt(5x)-10=0

x^{2} + 5 x - 10 = 0

x \approx 2.53735 \dots

Solution steps

x^{2} + 5 x - 10 = 0

Remove square roots

5 x = x^{4} - 20 x^{2} + 100

Solve

5 x = x^{4} - 20 x^{2} + 100 : x \approx 3.78843 \dots, x \approx 2.53735 \dots

x \approx 3.78843 \dots, x \approx 2.53735 \dots

Verify Solutions:

x \approx 3.78843 \dots

False

, x \approx 2.53735 \dots

True

The solution is

x \approx 2.53735 \dots

x + 2 x - 1 = 2

16 + x + 18 = 121

- 9 x + 10 = 3 x^{0.2}

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

\frac{2 x - 1 + ( 4 x + 9 )}{( 2 x - 1 )} = 0

What is the answer to x^2+sqrt(5x)-10=0 ?
The answer to x^2+sqrt(5x)-10=0 is x\approx 2.53735…
Solve for x: x^2+sqrt(5x)-10=0
The solution is x\approx 2.53735…