What is the answer to 7/x+4=(15)/(x^2) ?

The answer to 7/x+4=(15)/(x^2) is x= 5/4 ,x=-3

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7/x+4=(15)/(x^2)

\frac{7}{x} + 4 = \frac{15}{x ^{2}}

x = \frac{5}{4}, x = - 3

Decimal Notation

x = 1.25, x = - 3

Solution steps

\frac{7}{x} + 4 = \frac{15}{x ^{2}}

Multiply by LCM

7 x + 4 x^{2} = 15

Solve

7 x + 4 x^{2} = 15 : x = \frac{5}{4}, x = - 3

x = \frac{5}{4}, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{4}, x = - 3

\frac{x + 5}{x - 4} = \frac{- 2}{x}

\frac{x + 38}{x + 53} = 0.75

\frac{22}{9} = \frac{- 4}{5 m}

\frac{X - 725}{X} = \frac{2}{5}

\frac{- 65}{v} = - 5

What is the answer to 7/x+4=(15)/(x^2) ?
The answer to 7/x+4=(15)/(x^2) is x= 5/4 ,x=-3
Solve for x: 7/x+4=(15)/(x^2)
The solution is x= 5/4 ,x=-3