What is the answer to 9/(2x)=5+x^2 ?

The answer to 9/(2x)=5+x^2 is x\approx 0.79826…

Solve for x: 9/(2x)=5+x^2

The solution is x\approx 0.79826…

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\frac{9}{2 x} = 5 + x^{2}

x \approx 0.79826 \dots

Solution steps

\frac{9}{2 x} = 5 + x^{2}

Multiply both sides by

x

\frac{9}{2} = 5 x + x^{3}

Solve

\frac{9}{2} = 5 x + x^{3} : x \approx 0.79826 \dots

x \approx 0.79826 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.79826 \dots

\frac{x ^{2} - 1}{3} = \frac{1}{6 x ^{2}}

x, \frac{4}{x} + y = 1

\frac{1}{( a + b + x )} = \frac{1}{a} + \frac{1}{b} + \frac{1}{x}

\frac{\frac{1}{2}}{\frac{3}{2}} = \frac{0.1}{x}

(3 x - 1.5) \cdot (\frac{- 1}{2 x + 5}) = 0

What is the answer to 9/(2x)=5+x^2 ?
The answer to 9/(2x)=5+x^2 is x\approx 0.79826…
Solve for x: 9/(2x)=5+x^2
The solution is x\approx 0.79826…