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Popular >

simplify 1/(2-5i)

Solution

simplify

\frac{1}{2 - 5 i}

Solution

\frac{2}{29} + \frac{5}{29} i

Solution steps

\frac{1}{2 - 5 i}

Multiply by the conjugate

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

= \frac{1 \cdot ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )}

Simplify

\frac{1 \cdot ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{2 + 5 i}{29}

= \frac{2 + 5 i}{29}

Rewrite in standard complex form:

\frac{2}{29} + \frac{5}{29} i

= \frac{2}{29} + \frac{5}{29} i

Popular Examples

factor 49x^4-121y^6 factor

49 x^{4} - 121 y^{6}

factor 12r^2-64r+80 factor

12 r^{2} - 64 r + 80

simplify 10.36-0.094*0+0.131*16+0.21*16 simplify

10.36 - 0.094 \cdot 0 + 0.131 \cdot 16 + 0.21 \cdot 16

- 4 \leq t \leq 5

- 5 x^{2} - 14 x + 3 = 0

Frequently Asked Questions (FAQ)

What is 1/(2-5i) ?
The solution to 1/(2-5i) is 2/29+5/29 i