What is the answer to 81/4-27x+9x^2=(81)/(2x) ?

The answer to 81/4-27x+9x^2=(81)/(2x) is x\approx 2.77372…

Solve for x: 81/4-27x+9x^2=(81)/(2x)

The solution is x\approx 2.77372…

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\frac{81}{4} - 27 x + 9 x^{2} = \frac{81}{2 x}

x \approx 2.77372 \dots

Solution steps

\frac{81}{4} - 27 x + 9 x^{2} = \frac{81}{2 x}

Multiply both sides by

x

\frac{81}{4} x - 27 x^{2} + 9 x^{3} = \frac{81}{2}

Solve

\frac{81}{4} x - 27 x^{2} + 9 x^{3} = \frac{81}{2} : x \approx 2.77372 \dots

x \approx 2.77372 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 2.77372 \dots

\frac{2 - n - 3 n ^{2}}{3 n - 2} = n + 2

\frac{1800 x + 1440}{x + 1} = 1760

\frac{1}{x} + x = 0

\frac{5}{2 x} + \frac{1}{4} = \frac{1}{3}

0.005 = \frac{0.5}{8 \cdot 50000 \cdot C}

What is the answer to 81/4-27x+9x^2=(81)/(2x) ?
The answer to 81/4-27x+9x^2=(81)/(2x) is x\approx 2.77372…
Solve for x: 81/4-27x+9x^2=(81)/(2x)
The solution is x\approx 2.77372…