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

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 Question 63534: simplify -5 + 7i/7i expressed as a + biAnswer 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