What is (1-1/(sqrt(5)))/(1+1/(sqrt(5))) ?

The solution to (1-1/(sqrt(5)))/(1+1/(sqrt(5))) is (3-sqrt(5))/2

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simplify (1-1/(sqrt(5)))/(1+1/(sqrt(5)))

simplify

\frac{1 - \frac{1}{5}}{1 + \frac{1}{5}}

\frac{3 - 5}{2}

Decimal Notation

0.38196 \dots

Solution steps

\frac{1 - \frac{1}{5}}{1 + \frac{1}{5}}

1 - \frac{1}{5} = \frac{5 - 1}{5}

= \frac{\frac{5 - 1}{5}}{1 + \frac{1}{5}}

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

= \frac{\frac{5 - 1}{5}}{\frac{5 + 1}{5}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 5 - 1 ) 5}{5 ( 5 + 1 )}

Cancel

\frac{( 5 - 1 ) 5}{5 ( 5 + 1 )} : \frac{3 - 5}{2}

= \frac{3 - 5}{2}

\frac{2}{3} (3 c - 9)

4 (- 3)^{2} - (- 3) - 3

2 (3 x + 1) = 8 x - 4

78

x^{2} + 6 x = - 9

What is (1-1/(sqrt(5)))/(1+1/(sqrt(5))) ?
The solution to (1-1/(sqrt(5)))/(1+1/(sqrt(5))) is (3-sqrt(5))/2