What is the answer to (x-2)/5 = 2/x ?

The answer to (x-2)/5 = 2/x is x=1+sqrt(11),x=1-sqrt(11)

Solve for x: (x-2)/5 = 2/x

The solution is x=1+sqrt(11),x=1-sqrt(11)

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

x = 1 + 11, x = 1 - 11

Decimal Notation

x = 4.31662 \dots, x = - 2.31662 \dots

Solution steps

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

Cross multiply

(x - 2) x = 10

Solve

(x - 2) x = 10 : x = 1 + 11, x = 1 - 11

x = 1 + 11, x = 1 - 11

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1 + 11, x = 1 - 11

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

\frac{1}{5} = - \frac{1}{1 + c}

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

11 = \frac{5.5}{x}

\frac{20}{5 x} = 2

What is the answer to (x-2)/5 = 2/x ?
The answer to (x-2)/5 = 2/x is x=1+sqrt(11),x=1-sqrt(11)
Solve for x: (x-2)/5 = 2/x
The solution is x=1+sqrt(11),x=1-sqrt(11)