What is the answer to x+5/x =15 ?

The answer to x+5/x =15 is x=(15+sqrt(205))/2 ,x=(15-sqrt(205))/2

Solve for x: x+5/x =15

The solution is x=(15+sqrt(205))/2 ,x=(15-sqrt(205))/2

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x + \frac{5}{x} = 15

x = \frac{15 + 205}{2}, x = \frac{15 - 205}{2}

Decimal

x = 14.65891 \dots, x = 0.34108 \dots

Solution steps

x + \frac{5}{x} = 15

Multiply both sides by

x

x^{2} + 5 = 15 x

Solve

x^{2} + 5 = 15 x : x = \frac{15 + 205}{2}, x = \frac{15 - 205}{2}

x = \frac{15 + 205}{2}, x = \frac{15 - 205}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15 + 205}{2}, x = \frac{15 - 205}{2}

\frac{1}{2 x} + \frac{5}{x} = \frac{3}{x - 1}

15 = \frac{x \cdot 37}{1 - x}

y, x = \frac{a y + b}{cy + d}

\frac{11}{s + 3} + 4 = 5

x + \frac{8}{2 x} = 5

What is the answer to x+5/x =15 ?
The answer to x+5/x =15 is x=(15+sqrt(205))/2 ,x=(15-sqrt(205))/2
Solve for x: x+5/x =15
The solution is x=(15+sqrt(205))/2 ,x=(15-sqrt(205))/2