SOLUTION: Please help and show all work. Divide: (1+5i)/(6−7i).Write your answer in a+bi form .Divide: (−3−2i)/(4+2i). Write your answer in a+bi form.

Question 1015382: Please help and show all work.

Divide: (1+5i)/(6−7i).Write your answer in a+bi form

.Divide: (−3−2i)/(4+2i). Write your answer in a+bi form.

Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!

Instead of doing yours for you.  I'll do two others ones
exactly step-by-step like your two.  Follow the EXACT
same steps.



Form the conjugate of the denominator, which is
like 8-9i except change the sign of the coefficient of i.
The conjugate of 8-9i is 8+9i

Put that conjugate over itself to form a fraction which
equals 1:  That fraction is .
Multiply the given fraction by that:



FOIL out the top and bottom:





Combine like terms



Substitute (-1) for the i²'s





Combine like terms:



Break into two fractions:



Put the i after the fraction:



--------------------------------



Form the conjugate of the denominator, which is
like 6+8i except change the sign of the coefficient of i.
The conjugate of 6+8i is 6-8i

Put that conjugate over itself to form a fraction which
equals 1:  That fraction is .
Multiply the given fraction by that:



FOIL out the top and bottom:



Combine like terms



Substitute (-1) for the i²'s





Combine like terms:



Break into two fractions:



Reduce the fractions




Put the i after the fraction:



Now do yours exactly step-by step like these two.

Edwin

RELATED QUESTIONS
Please help me and show all work. Divide: −1+5i/−4+2i. Write your answer (answered by KMST)

Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard... (answered by jim_thompson5910)

Divide 6+2i/1+7i What does the real number a equal? What does the real number b... (answered by MathLover1)

Write (3 −�7i) −�(-11 + 5i) as a complex number in standard... (answered by tommyt3rd)

Divide (2+7i)/(-3+4i) and write your answer in a+bi form! (answered by MathLover1)

. If i 2 = −1, find (and put in a + bi form) a.) (− 3i)2 b.) i ^89 c.) (4... (answered by Alan3354)

For questions 7 � 18, find each quotient. Show your work. Write each answer in a + bi... (answered by MathLover1,MathTherapy)

(4-i)*(3+2i)-(10-5i/3-i) Simplify the complex expression. (Write your answer in a+bi... (answered by Fombitz)

Can someone PLEASE help me with these problem? THANK YOU! 1) Divide:... (answered by solver91311)

SOLUTION: Please help and show all work. Divide: (1+5i)/(6&#8722;7i).Write your answer in a+bi form .Divide: (&#8722;3&#8722;2i)/(4+2i). Write your answer in a+bi form.

SOLUTION: Please help and show all work. Divide: (1+5i)/(6−7i).Write your answer in a+bi form .Divide: (−3−2i)/(4+2i). Write your answer in a+bi form.