What is the answer to 5/(x^2)=4+3/x ?

The answer to 5/(x^2)=4+3/x is x=(-3+sqrt(89))/8 ,x=(-3-sqrt(89))/8

Solve for x: 5/(x^2)=4+3/x

The solution is x=(-3+sqrt(89))/8 ,x=(-3-sqrt(89))/8

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\frac{5}{x ^{2}} = 4 + \frac{3}{x}

x = \frac{- 3 + 89}{8}, x = \frac{- 3 - 89}{8}

Decimal Notation

x = 0.80424 \dots, x = - 1.55424 \dots

Solution steps

\frac{5}{x ^{2}} = 4 + \frac{3}{x}

Multiply by LCM

5 = 4 x^{2} + 3 x

Solve

5 = 4 x^{2} + 3 x : x = \frac{- 3 + 89}{8}, x = \frac{- 3 - 89}{8}

x = \frac{- 3 + 89}{8}, x = \frac{- 3 - 89}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 89}{8}, x = \frac{- 3 - 89}{8}

\frac{6}{x} = \frac{x}{24}

\frac{- 2 x}{( 1 + x ^{2} ) ^{2}} = 0

\frac{176}{r} + \frac{81}{r - 8} = 5

\frac{x}{2 x - 1} - \frac{1}{x} = 0

a, ab - \frac{16}{ab} = 2

What is the answer to 5/(x^2)=4+3/x ?
The answer to 5/(x^2)=4+3/x is x=(-3+sqrt(89))/8 ,x=(-3-sqrt(89))/8
Solve for x: 5/(x^2)=4+3/x
The solution is x=(-3+sqrt(89))/8 ,x=(-3-sqrt(89))/8