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

The answer to (3(a+1))/a =a is a=(3+sqrt(21))/2 ,a=(3-sqrt(21))/2

Solve for a: (3(a+1))/a =a

The solution is a=(3+sqrt(21))/2 ,a=(3-sqrt(21))/2

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

a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

Decimal Notation

a = 3.79128 \dots, a = - 0.79128 \dots

Solution steps

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

Multiply both sides by

a

3 (a + 1) = a^{2}

Solve

3 (a + 1) = a^{2} : a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

\frac{36}{b} - 3 = 0

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

\frac{x}{3} - 1 = \frac{6}{x}

\frac{3}{x} = 5

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

What is the answer to (3(a+1))/a =a ?
The answer to (3(a+1))/a =a is a=(3+sqrt(21))/2 ,a=(3-sqrt(21))/2
Solve for a: (3(a+1))/a =a
The solution is a=(3+sqrt(21))/2 ,a=(3-sqrt(21))/2