What is (30+20i)/(1+5i) ?

The solution to (30+20i)/(1+5i) is 5-5i

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simplify (30+20i)/(1+5i)

simplify

\frac{30 + 20 i}{1 + 5 i}

5 - 5 i

Solution steps

\frac{30 + 20 i}{1 + 5 i}

Multiply by the conjugate

\frac{1 - 5 i}{1 - 5 i}

= \frac{( 30 + 20 i ) ( 1 - 5 i )}{( 1 + 5 i ) ( 1 - 5 i )}

Simplify

\frac{( 30 + 20 i ) ( 1 - 5 i )}{( 1 + 5 i ) ( 1 - 5 i )} : \frac{130 - 130 i}{26}

= \frac{130 - 130 i}{26}

Apply the fraction rule:

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

= \frac{130}{26} + \frac{- 130}{26} i

Simplify

\frac{130}{26} + \frac{- 130}{26} i : 5 - 5 i

= 5 - 5 i

y + (4 (35) + 5) + (2 y - 55) = 180

- \frac{1}{3} (- 2)

- 37 x^{4} y - 23 z

2 x^{2} - 28 x + 98

x^{2} > 3 (x + 6)