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Popular >

simplify (5+i)/(2-i)

Solution

simplify

\frac{5 + i}{2 - i}

Solution

\frac{9}{5} + \frac{7}{5} i

Solution steps

\frac{5 + i}{2 - i}

Multiply by the conjugate

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

= \frac{( 5 + i ) ( 2 + i )}{( 2 - i ) ( 2 + i )}

Simplify

\frac{( 5 + i ) ( 2 + i )}{( 2 - i ) ( 2 + i )} : \frac{9 + 7 i}{5}

= \frac{9 + 7 i}{5}

Rewrite in standard complex form:

\frac{9}{5} + \frac{7}{5} i

= \frac{9}{5} + \frac{7}{5} i

Popular Examples

- \frac{5}{4} x = 15

3 x^{2} - 11 x - 4 \leq 0

8x-13-10=-7x+37

8 x - 13 - 10 = - 7 x + 37

simplify (1+sqrt(2))^2-1/((1+sqrt(2))^2)simplify

(1 + 2)^{2} - \frac{1}{( 1 + 2 ) ^{2}}

15.2(10^{-6})<10^{-5}

15.2 (1 0^{- 6}) < 1 0^{- 5}

Frequently Asked Questions (FAQ)

What is (5+i)/(2-i) ?
The solution to (5+i)/(2-i) is 9/5+7/5 i