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Popular >

simplify (5i)/(2-i)

Solution

simplify

\frac{5 i}{2 - i}

Solution

- 1 + 2 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{10 i - 5}{5}

= \frac{10 i - 5}{5}

Rewrite in standard complex form:

- 1 + 2 i

= - 1 + 2 i

Popular Examples

x - 7 = \frac{2}{3} x

simplify (5+i)/(2+3i)simplify

\frac{5 + i}{2 + 3 i}

-27+(12-x)^2=-22

- 27 + (12 - x)^{2} = - 22

factor a^7+a^6b+a^5b^2+a^4b^3+a^3b^4+a^2b^5+ab^6+b^7 factor

a^{7} + a^{6} b + a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5} + a b^{6} + b^{7}

simplify 2/(2^{-3)}simplify

\frac{2}{2 ^{- 3}}

Frequently Asked Questions (FAQ)

What is (5i)/(2-i) ?
The solution to (5i)/(2-i) is -1+2i