What is (-3)/(-4+5i) ?

The solution to (-3)/(-4+5i) is 12/41+15/41 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3)/(-4+5i)

simplify

\frac{- 3}{- 4 + 5 i}

\frac{12}{41} + \frac{15}{41} i

Solution steps

\frac{- 3}{- 4 + 5 i}

Multiply by the conjugate

\frac{- 4 - 5 i}{- 4 - 5 i}

= \frac{- 3 ( - 4 - 5 i )}{( - 4 + 5 i ) ( - 4 - 5 i )}

Simplify

\frac{- 3 ( - 4 - 5 i )}{( - 4 + 5 i ) ( - 4 - 5 i )} : \frac{12 + 15 i}{41}

= \frac{12 + 15 i}{41}

Rewrite in standard complex form:

\frac{12}{41} + \frac{15}{41} i

= \frac{12}{41} + \frac{15}{41} i

lo g_{3} (a^{7}) + (lo g_{3} (a^{4}) - 2 \cdot lo g_{3} (b))

x^{2} + 20 x + 71 = 7

x^{2} - 15 x + 26

∣ 2 x - 1 ∣ > x + 2

3 (5 + 3)