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Popular >

simplify (6-7i)/(1-2i)

Solution

simplify

\frac{6 - 7 i}{1 - 2 i}

Solution

4 + i

Solution steps

\frac{6 - 7 i}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{( 6 - 7 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{( 6 - 7 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{20 + 5 i}{5}

= \frac{20 + 5 i}{5}

Apply the fraction rule:

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

= \frac{20}{5} + \frac{5}{5} i

Simplify

\frac{20}{5} + \frac{5}{5} i : 4 + i

= 4 + i

Popular Examples

x^{2} + 8 x - 13 = 0

simplify ((10*10^6))/(1000+2*10*10^6)simplify

\frac{( 10 \cdot 1 0 ^{6} )}{1000 + 2 \cdot 10 \cdot 1 0 ^{6}}

(3 x - 1)^{2} - 1 = 0

simplify 1/(\frac{0.12){0.13}}simplify

\frac{1}{\frac{0.12}{0.13}}

-4(-2x+5)-5x+5=-24

- 4 (- 2 x + 5) - 5 x + 5 = - 24

Frequently Asked Questions (FAQ)

What is (6-7i)/(1-2i) ?
The solution to (6-7i)/(1-2i) is 4+i