algebra

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

  • algebra -

    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

  • algebra -

    thank you

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