SOLUTION: Write the expression as a complex number in standard form. (8+7i)/(3-4i) ANSWER CHOICES: A. (4/25) + (53/25)i B. (52/7) - (11/7)i C. (52/7) + (53/7)i D. (4/25) - (11/25)i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Write the expression as a complex number in standard form. (8+7i)/(3-4i) ANSWER CHOICES: A. (4/25) + (53/25)i B. (52/7) - (11/7)i C. (52/7) + (53/7)i D. (4/25) - (11/25)i      Log On


   

Question 595757: Write the expression as a complex number in standard form.
(8+7i)/(3-4i)
ANSWER CHOICES:
A. (4/25) + (53/25)i
B. (52/7) - (11/7)i
C. (52/7) + (53/7)i
D. (4/25) - (11/25)i
Answer by Yemi(10) About Me  (Show Source):
You can put this solution on YOUR website!
(8+7i)/(3-4i).The first thing you do is to multiply both the numerator and denominator with the conjugate of the denominator.the conjugate is gotten by changing the sign.therefore the conjugate is 3+4i.then you hav (8+7i)x(3+4i) all over (3-4i)x(3+4i).note that i squared is equal to (-1).after the simplification you have (-4+53i)/25.