What is the answer to X+1/X =5 ?

The answer to X+1/X =5 is X=(5+sqrt(21))/2 ,X=(5-sqrt(21))/2

Solve for X: X+1/X =5

The solution is X=(5+sqrt(21))/2 ,X=(5-sqrt(21))/2

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X + \frac{1}{X} = 5

X = \frac{5 + 21}{2}, X = \frac{5 - 21}{2}

Decimal Notation

X = 4.79128 \dots, X = 0.20871 \dots

Solution steps

X + \frac{1}{X} = 5

Multiply both sides by

X

X^{2} + 1 = 5 X

Solve

X^{2} + 1 = 5 X : X = \frac{5 + 21}{2}, X = \frac{5 - 21}{2}

X = \frac{5 + 21}{2}, X = \frac{5 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

X = 0

Combine undefined points with solutions:

X = \frac{5 + 21}{2}, X = \frac{5 - 21}{2}

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

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

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

\frac{2 x}{x + 4} = 6 - \frac{8}{x + 4}

\frac{x}{x - 4} + 6 = \frac{4}{x - 4}

What is the answer to X+1/X =5 ?
The answer to X+1/X =5 is X=(5+sqrt(21))/2 ,X=(5-sqrt(21))/2
Solve for X: X+1/X =5
The solution is X=(5+sqrt(21))/2 ,X=(5-sqrt(21))/2