What is the answer to 5/(x^2)-(10)/x+2=0 ?

The answer to 5/(x^2)-(10)/x+2=0 is x=(5+sqrt(15))/2 ,x=(5-sqrt(15))/2

Solve for x: 5/(x^2)-(10)/x+2=0

The solution is x=(5+sqrt(15))/2 ,x=(5-sqrt(15))/2

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\frac{5}{x ^{2}} - \frac{10}{x} + 2 = 0

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

Decimal Notation

x = 4.43649 \dots, x = 0.56350 \dots

Solution steps

\frac{5}{x ^{2}} - \frac{10}{x} + 2 = 0

Multiply by LCM

5 - 10 x + 2 x^{2} = 0

Solve

5 - 10 x + 2 x^{2} = 0 : x = \frac{5 + 15}{2}, x = \frac{5 - 15}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{1}{x - 1} + 1 = - \frac{7 x}{x - 1}

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

\frac{9 x}{x - 1} - 1 = \frac{9}{x ^{2} - x}

\frac{x}{x + 2} = \frac{10}{15}

1 - \frac{2 x - 3}{x + 5} = \frac{x - 2}{10}

What is the answer to 5/(x^2)-(10)/x+2=0 ?
The answer to 5/(x^2)-(10)/x+2=0 is x=(5+sqrt(15))/2 ,x=(5-sqrt(15))/2
Solve for x: 5/(x^2)-(10)/x+2=0
The solution is x=(5+sqrt(15))/2 ,x=(5-sqrt(15))/2