What is the answer to 2x-9= 5/x ?

The answer to 2x-9= 5/x is x=5,x=-1/2

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2x-9= 5/x

2 x - 9 = \frac{5}{x}

x = 5, x = - \frac{1}{2}

Decimal Notation

x = 5, x = - 0.5

Solution steps

2 x - 9 = \frac{5}{x}

Multiply both sides by

x

2 x^{2} - 9 x = 5

Solve

2 x^{2} - 9 x = 5 : x = 5, x = - \frac{1}{2}

x = 5, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - \frac{1}{2}

8 x - \frac{9}{x} = 1

\frac{6}{x + 16} = \frac{7}{3 x + 3}

\frac{7}{x - 3} = \frac{7}{3}

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

y, 4 y = \frac{6 + x ^{5}}{x ^{5} y}