What is the answer to x-4= 2/x ?

The answer to x-4= 2/x is x=2+sqrt(6),x=2-sqrt(6)

Solve for x: x-4= 2/x

The solution is x=2+sqrt(6),x=2-sqrt(6)

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x - 4 = \frac{2}{x}

x = 2 + 6, x = 2 - 6

Decimal Notation

x = 4.44948 \dots, x = - 0.44948 \dots

Solution steps

x - 4 = \frac{2}{x}

Multiply both sides by

x

x^{2} - 4 x = 2

Solve

x^{2} - 4 x = 2 : x = 2 + 6, x = 2 - 6

x = 2 + 6, x = 2 - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 6, x = 2 - 6

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

\frac{9}{x - 8} = \frac{8}{3}

\frac{24}{x} = 9

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

r + \frac{2}{r} = - 3

What is the answer to x-4= 2/x ?
The answer to x-4= 2/x is x=2+sqrt(6),x=2-sqrt(6)
Solve for x: x-4= 2/x
The solution is x=2+sqrt(6),x=2-sqrt(6)