What is the answer to x+1/x =35 ?

The answer to x+1/x =35 is x=(35+sqrt(1221))/2 ,x=(35-sqrt(1221))/2

Solve for x: x+1/x =35

The solution is x=(35+sqrt(1221))/2 ,x=(35-sqrt(1221))/2

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x + \frac{1}{x} = 35

x = \frac{35 + 1221}{2}, x = \frac{35 - 1221}{2}

Decimal Notation

x = 34.97140 \dots, x = 0.02859 \dots

Solution steps

x + \frac{1}{x} = 35

Multiply both sides by

x

x^{2} + 1 = 35 x

Solve

x^{2} + 1 = 35 x : x = \frac{35 + 1221}{2}, x = \frac{35 - 1221}{2}

x = \frac{35 + 1221}{2}, x = \frac{35 - 1221}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{35 + 1221}{2}, x = \frac{35 - 1221}{2}

\frac{x - 1}{x + 1} + \frac{4}{x + 5} = 1

\frac{10}{x + 8} = \frac{5}{x - 8}

2 x - \frac{27648}{x ^{2}} = 0

\frac{4}{x - 1} - \frac{4}{x + 1} = 1

2 x - \frac{8192}{x ^{2}} = 0

What is the answer to x+1/x =35 ?
The answer to x+1/x =35 is x=(35+sqrt(1221))/2 ,x=(35-sqrt(1221))/2
Solve for x: x+1/x =35
The solution is x=(35+sqrt(1221))/2 ,x=(35-sqrt(1221))/2