What is the answer to 2x-9/x =3 ?

The answer to 2x-9/x =3 is x=3,x=-3/2

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2x-9/x =3

2 x - \frac{9}{x} = 3

x = 3, x = - \frac{3}{2}

Decimal Notation

x = 3, x = - 1.5

Solution steps

2 x - \frac{9}{x} = 3

Multiply both sides by

x

2 x^{2} - 9 = 3 x

Solve

2 x^{2} - 9 = 3 x : x = 3, x = - \frac{3}{2}

x = 3, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - \frac{3}{2}

\frac{( 0.8 - 0.3 x )}{x} = 0

\frac{3}{2} = \frac{- 7 x + 9}{3 x}

\frac{8}{10} = \frac{12}{x}

- \frac{1}{x ^{2}} = - \frac{1}{48}

15000 = (\frac{1500}{( 1 + x ) ^{5}})