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

The answer to x+9/(2x)= 27/4 is x=6,x= 3/4

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x+9/(2x)= 27/4

x + \frac{9}{2 x} = \frac{27}{4}

x = 6, x = \frac{3}{4}

Decimal Notation

x = 6, x = 0.75

Solution steps

x + \frac{9}{2 x} = \frac{27}{4}

Multiply by LCM

4 x^{2} + 18 = 27 x

Solve

4 x^{2} + 18 = 27 x : x = 6, x = \frac{3}{4}

x = 6, x = \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = \frac{3}{4}

\frac{2 x + 5}{2} - \frac{3 x}{x - 2} = x

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

x - 1 = \frac{x ^{2} - 4 x + 3}{x + 2}

\frac{x ^{2} - 10}{x - 1} = \frac{- 14 - 5 x}{x - 1}

\frac{1}{x ^{2} - 2 x - 7} = 1

What is the answer to x+9/(2x)= 27/4 ?
The answer to x+9/(2x)= 27/4 is x=6,x= 3/4
Solve for x: x+9/(2x)= 27/4
The solution is x=6,x= 3/4