## anonymous 4 years ago -3-7i/7+10i

1. barrycarter

Are you sure you don't mean (-3-7i)/(7+10i)?

2. anonymous

no i dont know why everybody says there is supposed to be parentheses because thats not what the paper is its rationalizing imaginary denominators

3. PaxPolaris

${- 3-7i \over 7+10i}={\left( -3-7i \right)\cdot \left( 7-10i \right) \over \left( 7+10i \right) \cdot \left( 7-10i \right)}$

4. PaxPolaris

ps. when writing in a straight line, -3-7i/7+10i would read as:$-3-{7i \over7}+10i$ you would use parentheses to compensate.

5. PaxPolaris

${\left( -3-7i \right)\cdot \left( 7-10i \right) \over \left( 7+10i \right) \cdot \left( 7-10i \right)}= {-21+70i^2+30i-49i \over 49-100i^2}$

6. PaxPolaris

$={-21-70-19i \over 49+100}={-91-19i \over 149}\ or\ -{91+19i \over 149}$