What is factor 7/(1-sqrt(5)) ?

The solution to factor 7/(1-sqrt(5)) is -(7(1+sqrt(5)))/4

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factor 7/(1-sqrt(5))

factor

\frac{7}{1 - 5}

- \frac{7 ( 1 + 5 )}{4}

Decimal Notation

- 5.66311 \dots

Solution steps

\frac{7}{1 - 5}

Multiply by the conjugate

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

= \frac{7 ( 1 + 5 )}{( 1 - 5 ) ( 1 + 5 )}

(1 - 5) (1 + 5) = - 4

= \frac{7 ( 1 + 5 )}{- 4}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{7 ( 1 + 5 )}{4}

y (d x)

\frac{d}{d x} (x - 2) + (x^{2} + 1)

e^{(k t + c)}

e^{(k \cdot t + c)}

(10 x) - 1

What is factor 7/(1-sqrt(5)) ?
The solution to factor 7/(1-sqrt(5)) is -(7(1+sqrt(5)))/4