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Find (z1)/(z2) if z1 = 3+2i and z2 = -1-5i.

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84. Find z1z2\frac{z_1}{z_2} if z1=3+2iz_1 = 3+2i and z2=−1−5iz_2 = -1-5i.

  1. Write the expression for z1z2\frac{z_1}{z_2}.

    z1z2=3+2i−1−5i\frac{z_1}{z_2} = \frac{3+2i}{-1-5i}

  2. Multiply the numerator and denominator by the conjugate of the denominator.

    The conjugate of −1−5i-1-5i is −1+5i-1+5i.

    3+2i−1−5i×−1+5i−1+5i\frac{3+2i}{-1-5i} \times \frac{-1+5i}{-1+5i}

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