SOLUTION: simplify -5 + 7i/7i expressed as a + bi

Question 63534: simplify -5 + 7i/7i expressed as a + bi
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
QUESTION:

simplify -5 + 7i/7i expressed as a + bi
ANSWER:

Multiply both numerator and denominator by 7i

==> (-5 + 7i)* 7i / 7i* 7i
==> -5*7i + 7i * 7i )/7*7 * i * i

==> (-35 i + 49 i^2 ) / 49 i^2
==> (-35 i + 49 * -1 ) / 49 * -1
==> (-35 i - 49 ) / -49
==> ( -35i/-49 - 49/-49)
==> (35/49)i + 1
==> 1 + (35/49) i
==> 1 + ( 5/7) i
which is of the form a + ib, where a = 1 and b = (5/7)

Hope you understood.

Regards,
praseenakos@yahoo.co.in

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