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posted by Lee Saturday, November 3, 2012 at 11:18am.

simplify the expression -6+i/-5+i Could someone explain the steps?

recall that (a+bi)(a-bi) = a^2+b^2 to get that pesky complex number out of the denominator, multiply by (-5-i) top and bottom: (-6+i)(-5-i)/(-5-i)(-5+i) = (30 - 5i + 6i - i^2)/26 = (31 + i)/26 = 31/26 + 1/26 i

thank you

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