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.Com
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)   (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.
RELATED QUESTIONS

Hi, I am reviewing for my final and need help. Please show me what I did wrong on the... (answered by Alan3354,josgarithmetic)
Write the expression as a complex number in standard form. 7+7i/6+i Answer choices:... (answered by erica65404)
Write the expression as a complex number in standard form. (-3-8i)+(-5-7i) ANSWER... (answered by Alan3354)
Write the expression as a complex number in standard form... (answered by solver91311)
Write the expression as a complex number in standard form. a) 8/1+i b) -5-3i/4i c)... (answered by venugopalramana)
Write the expressions as a complex number in standard form a) 4i(6-i) b) (5+i)(8+i) c) (answered by tran3209)
Write the expression as a complex number in standard form.... (answered by jim_thompson5910,Mathtut)
write the eepression as a complex number in standard form (5 + 4i) + (-7... (answered by mathdoc316)
write the expression (5+7i)(5-7i) as a complex number in standard... (answered by tommyt3rd)