What is the answer to (38.4)/x+x=12.5 ?

The answer to (38.4)/x+x=12.5 is x=(125+sqrt(265))/(20),x=(125-sqrt(265))/(20)

Solve for x: (38.4)/x+x=12.5

The solution is x=(125+sqrt(265))/(20),x=(125-sqrt(265))/(20)

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\frac{38.4}{x} + x = 12.5

x = \frac{125 + 265}{20}, x = \frac{125 - 265}{20}

Decimal Notation

x = 7.06394 \dots, x = 5.43605 \dots

Solution steps

\frac{38.4}{x} + x = 12.5

Multiply both sides by

x

38.4 + x^{2} = 12.5 x

Solve

38.4 + x^{2} = 12.5 x : x = \frac{125 + 265}{20}, x = \frac{125 - 265}{20}

x = \frac{125 + 265}{20}, x = \frac{125 - 265}{20}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{125 + 265}{20}, x = \frac{125 - 265}{20}

4 (r + 20) = \frac{1}{5 ( 20 r + 400 )}

\frac{x - 7}{x} = \frac{8}{2 x}

\frac{40}{x + 10} = \frac{20}{x}

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

x^{- n - 1} = \frac{1}{x ^{n - 1}}

What is the answer to (38.4)/x+x=12.5 ?
The answer to (38.4)/x+x=12.5 is x=(125+sqrt(265))/(20),x=(125-sqrt(265))/(20)
Solve for x: (38.4)/x+x=12.5
The solution is x=(125+sqrt(265))/(20),x=(125-sqrt(265))/(20)