What is the answer to a+1/a =10 ?

The answer to a+1/a =10 is a=5+2sqrt(6),a=5-2sqrt(6)

Solve for a: a+1/a =10

The solution is a=5+2sqrt(6),a=5-2sqrt(6)

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Popular >

a + \frac{1}{a} = 10

a = 5 + 26, a = 5 - 26

Decimal Notation

a = 9.89897 \dots, a = 0.10102 \dots

Solution steps

a + \frac{1}{a} = 10

Multiply both sides by

a

a^{2} + 1 = 10 a

Solve

a^{2} + 1 = 10 a : a = 5 + 26, a = 5 - 26

a = 5 + 26, a = 5 - 26

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 5 + 26, a = 5 - 26

\frac{2 x - 4}{x - 2} = - 7

\frac{2}{10} = \frac{4}{a - 3}

1 = \frac{14 x ^{2}}{x ^{4} + 49}

B (y) = c y^{- 8}

x - \frac{15}{x} = 2

What is the answer to a+1/a =10 ?
The answer to a+1/a =10 is a=5+2sqrt(6),a=5-2sqrt(6)
Solve for a: a+1/a =10
The solution is a=5+2sqrt(6),a=5-2sqrt(6)