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Popular >

simplify (7+i)/(7-i)

Solution

simplify

\frac{7 + i}{7 - i}

Solution

\frac{24}{25} + \frac{7}{25} i

Solution steps

\frac{7 + i}{7 - i}

Multiply by the conjugate

\frac{7 + i}{7 + i}

= \frac{( 7 + i ) ( 7 + i )}{( 7 - i ) ( 7 + i )}

Simplify

\frac{( 7 + i ) ( 7 + i )}{( 7 - i ) ( 7 + i )} : \frac{14 i + 48}{50}

= \frac{14 i + 48}{50}

Rewrite in standard complex form:

\frac{24}{25} + \frac{7}{25} i

= \frac{24}{25} + \frac{7}{25} i

Popular Examples

45-[4-2y-4(y+7)]=-4(1+3y)-[4-3(y+2)-2(2y-5)]

45 - [4 - 2 y - 4 (y + 7)] = - 4 (1 + 3 y) - [4 - 3 (y + 2) - 2 (2 y - 5)]

-1/2 (-12y+16)=5y-9

- \frac{1}{2} (- 12 y + 16) = 5 y - 9

a^{2} \leq 1

8 x - (2 - 3 x) = 18

(4-4)/((4)^2+(500)^2)

\frac{4 - 4}{( 4 ) ^{2} + ( 500 ) ^{2}}

Frequently Asked Questions (FAQ)

What is (7+i)/(7-i) ?
The solution to (7+i)/(7-i) is 24/25+7/25 i