What is the answer to ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2 ?

The answer to ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2 is a=(5-sqrt(7))/3 ,a=(5+sqrt(7))/3

Solve for a: ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2

The solution is a=(5-sqrt(7))/3 ,a=(5+sqrt(7))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{( 3 a )}{( 1 + \frac{1}{( 1 + \frac{1}{( 1 - a )} )} )} = 2

a = \frac{5 - 7}{3}, a = \frac{5 + 7}{3}

Decimal Notation

a = 0.78474 \dots, a = 2.54858 \dots

Solution steps

\frac{( 3 a )}{( 1 + \frac{1}{( 1 + \frac{1}{( 1 - a )} )} )} = 2

Simplify

\frac{3 a}{1 + \frac{1}{1 + \frac{1}{1 - a}}} : \frac{3 a ( - a + 2 )}{- 2 a + 3}

\frac{3 a ( - a + 2 )}{- 2 a + 3} = 2

Multiply both sides by

- 2 a + 3

3 a (- a + 2) = 2 (- 2 a + 3)

Solve

3 a (- a + 2) = 2 (- 2 a + 3) : a = \frac{5 - 7}{3}, a = \frac{5 + 7}{3}

a = \frac{5 - 7}{3}, a = \frac{5 + 7}{3}

Verify Solutions

Find undefined (singularity) points:

a = \frac{3}{2}, a = 2, a = 1

Combine undefined points with solutions:

a = \frac{5 - 7}{3}, a = \frac{5 + 7}{3}

x + x^{- 1} = 2

\frac{x ^{3} + 12 x}{6 x ^{2} + 8} = \frac{35}{19}

x, \frac{4}{x} - \frac{5}{y} = x + \frac{y}{x} y + \frac{3}{10}

\frac{4}{( x + 1 )} + \frac{5}{x} - \frac{9}{( 3 x - 1 )} = 0

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

What is the answer to ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2 ?
The answer to ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2 is a=(5-sqrt(7))/3 ,a=(5+sqrt(7))/3
Solve for a: ((3a))/((1+1/((1+\frac{1){(1-a)))})}=2
The solution is a=(5-sqrt(7))/3 ,a=(5+sqrt(7))/3