What is the answer to 9/(x^2)+5/x =4 ?

The answer to 9/(x^2)+5/x =4 is x= 9/4 ,x=-1

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9/(x^2)+5/x =4

\frac{9}{x ^{2}} + \frac{5}{x} = 4

x = \frac{9}{4}, x = - 1

Decimal Notation

x = 2.25, x = - 1

Solution steps

\frac{9}{x ^{2}} + \frac{5}{x} = 4

Multiply by LCM

9 + 5 x = 4 x^{2}

Solve

9 + 5 x = 4 x^{2} : x = \frac{9}{4}, x = - 1

x = \frac{9}{4}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}, x = - 1

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

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

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

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

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

What is the answer to 9/(x^2)+5/x =4 ?
The answer to 9/(x^2)+5/x =4 is x= 9/4 ,x=-1
Solve for x: 9/(x^2)+5/x =4
The solution is x= 9/4 ,x=-1