What is (7+i)/(-6-2i) ?

The solution to (7+i)/(-6-2i) is -11/10+1/5 i

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simplify (7+i)/(-6-2i)

simplify

\frac{7 + i}{- 6 - 2 i}

- \frac{11}{10} + \frac{1}{5} i

Solution steps

\frac{7 + i}{- 6 - 2 i}

Multiply by the conjugate

\frac{- 6 + 2 i}{- 6 + 2 i}

= \frac{( 7 + i ) ( - 6 + 2 i )}{( - 6 - 2 i ) ( - 6 + 2 i )}

Simplify

\frac{( 7 + i ) ( - 6 + 2 i )}{( - 6 - 2 i ) ( - 6 + 2 i )} : \frac{- 44 + 8 i}{40}

= \frac{- 44 + 8 i}{40}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 44}{40} + \frac{8}{40} i

Simplify

\frac{- 44}{40} + \frac{8}{40} i : - \frac{11}{10} + \frac{1}{5} i

= - \frac{11}{10} + \frac{1}{5} i

1^{4}

lo g_{3} (\frac{1}{45})

λ^{2} - 4 λ + 10 = 0

(x + 3)^{2} + 7 (x + 3) - 18 = 0

2^{\frac{8}{3}}