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Popular >

simplify (8-i)/(3-2i)

Solution

simplify

\frac{8 - i}{3 - 2 i}

Solution

2 + i

Solution steps

\frac{8 - i}{3 - 2 i}

Multiply by the conjugate

\frac{3 + 2 i}{3 + 2 i}

= \frac{( 8 - i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )}

Simplify

\frac{( 8 - i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{26 + 13 i}{13}

= \frac{26 + 13 i}{13}

Apply the fraction rule:

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

= \frac{26}{13} + \frac{13}{13} i

Simplify

\frac{26}{13} + \frac{13}{13} i : 2 + i

= 2 + i

Popular Examples

5 z - 2 - 2 z < 13

factor 4w^2-20w+25 factor

4 w^{2} - 20 w + 25

(16x^2-81)/(x^2-36)<= 0

\frac{16 x ^{2} - 81}{x ^{2} - 36} \leq 0

16 r^{2} + 10 = 0

simplify log_{5}(1/3125)simplify

lo g_{5} (\frac{1}{3125})

Frequently Asked Questions (FAQ)

What is (8-i)/(3-2i) ?
The solution to (8-i)/(3-2i) is 2+i