What is (x+8i)/(x-8i) ?

The solution to (x+8i)/(x-8i) is (x^2-64)/(x^2+64)+(16x)/(x^2+64)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+8i)/(x-8i)

simplify

\frac{x + 8 i}{x - 8 i}

\frac{x ^{2} - 64}{x ^{2} + 64} + \frac{16 x}{x ^{2} + 64} i

Solution steps

\frac{x + 8 i}{x - 8 i}

Multiply by the conjugate

\frac{x + 8 i}{x + 8 i}

= \frac{( x + 8 i ) ( x + 8 i )}{( x - 8 i ) ( x + 8 i )}

Simplify

\frac{( x + 8 i ) ( x + 8 i )}{( x - 8 i ) ( x + 8 i )} : \frac{x ^{2} + 16 x i - 64}{x ^{2} + 64}

= \frac{x ^{2} + 16 x i - 64}{x ^{2} + 64}

Rewrite in standard complex form:

\frac{x ^{2} - 64}{x ^{2} + 64} + \frac{16 x}{x ^{2} + 64} i

= \frac{x ^{2} - 64}{x ^{2} + 64} + \frac{16 x}{x ^{2} + 64} i

10 x + 4 + x = 4 + 11 x - 1

3900

\frac{- 1}{4} x + 8 \leq 12

- 2 (4 + 3 y) = - 2 (4 + y)

x - 20% x = 550

What is (x+8i)/(x-8i) ?
The solution to (x+8i)/(x-8i) is (x^2-64)/(x^2+64)+(16x)/(x^2+64)i