What is the answer to a+1/a =4 ?

The answer to a+1/a =4 is a=2+sqrt(3),a=2-sqrt(3)

Solve for a: a+1/a =4

The solution is a=2+sqrt(3),a=2-sqrt(3)

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Popular >

a + \frac{1}{a} = 4

a = 2 + 3, a = 2 - 3

Decimal Notation

a = 3.73205 \dots, a = 0.26794 \dots

Solution steps

a + \frac{1}{a} = 4

Multiply both sides by

a

a^{2} + 1 = 4 a

Solve

a^{2} + 1 = 4 a : a = 2 + 3, a = 2 - 3

a = 2 + 3, a = 2 - 3

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 2 + 3, a = 2 - 3

5 x^{- 2} - 19 x^{- 1} - 4 = 0

\frac{x}{x + 6} = \frac{9}{8}

- \frac{7}{x + 7} + 6 = \frac{x}{x + 7}

\frac{k p}{1 + k p} = 0.99

4 x = \frac{4}{x}

What is the answer to a+1/a =4 ?
The answer to a+1/a =4 is a=2+sqrt(3),a=2-sqrt(3)
Solve for a: a+1/a =4
The solution is a=2+sqrt(3),a=2-sqrt(3)