What is the answer to a+1/a =3 ?

The answer to a+1/a =3 is a=(3+sqrt(5))/2 ,a=(3-sqrt(5))/2

Solve for a: a+1/a =3

The solution is a=(3+sqrt(5))/2 ,a=(3-sqrt(5))/2

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a + \frac{1}{a} = 3

a = \frac{3 + 5}{2}, a = \frac{3 - 5}{2}

Decimal

a = 2.61803 \dots, a = 0.38196 \dots

Solution steps

a + \frac{1}{a} = 3

Multiply both sides by

a

a^{2} + 1 = 3 a

Solve

a^{2} + 1 = 3 a : a = \frac{3 + 5}{2}, a = \frac{3 - 5}{2}

a = \frac{3 + 5}{2}, a = \frac{3 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{3 + 5}{2}, a = \frac{3 - 5}{2}

\frac{p + 10}{p - 7} = \frac{8}{9}

\frac{2 x}{x + 1} + \frac{5}{2 x} = 2

\frac{4 x + 2}{x - 9} = \frac{3}{5}

x + 2 = \frac{4}{x - 1}

\frac{9}{k - 7} = \frac{6}{k}

What is the answer to a+1/a =3 ?
The answer to a+1/a =3 is a=(3+sqrt(5))/2 ,a=(3-sqrt(5))/2
Solve for a: a+1/a =3
The solution is a=(3+sqrt(5))/2 ,a=(3-sqrt(5))/2