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

The answer to a=(a+4)/(a-1) is a=1+sqrt(5),a=1-sqrt(5)

Solve for a: a=(a+4)/(a-1)

The solution is a=1+sqrt(5),a=1-sqrt(5)

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

a = 1 + 5, a = 1 - 5

Decimal Notation

a = 3.23606 \dots, a = - 1.23606 \dots

Solution steps

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

Multiply both sides by

a - 1

a (a - 1) = a + 4

Solve

a (a - 1) = a + 4 : a = 1 + 5, a = 1 - 5

a = 1 + 5, a = 1 - 5

Verify Solutions

Find undefined (singularity) points:

a = 1

Combine undefined points with solutions:

a = 1 + 5, a = 1 - 5

r = (\frac{t + a}{a t})^{- 1}

\frac{x}{4} = \frac{9}{x}

\frac{3}{x + 1} = \frac{2}{x - 3}

\frac{7}{3} = \frac{4}{t}

0.2 = \frac{x ^{2}}{55 - x}

What is the answer to a=(a+4)/(a-1) ?
The answer to a=(a+4)/(a-1) is a=1+sqrt(5),a=1-sqrt(5)
Solve for a: a=(a+4)/(a-1)
The solution is a=1+sqrt(5),a=1-sqrt(5)