![\begin{array}{lrcl}z_{1}/z_{2} & = & (0 - 4i)/(2 - 3i) &\\& =& -(4i)/(2 - 3i) \times (2 + 3i)/(2 + 3i)& \text{Multiply by conjugate}\\& =& -[4i(2 + 3i)]/[(2 - 3i)(2+ 3i)] &\text{Multply fractions} \\& =& -(8i - 12)/(4 + 9) &\text{Distribute and FOIL}\\& =& (12 - 8i)/13 &\text{Distribute and add}\\& =& \mathbf{12/13 - (8/13)i} & \text{Put into standard form}\\\end{array}\\\text{The quotient is }\boxed{\mathbf{12/13 - (8/13)i}}](/tpl/images/0173/9918/7e7d6.png)
The graph represents two complex numbers, z1 and z2.
z1 = 0 – 4i and z2 = 2 – 3i.
what...
Mathematics, 10.08.2019 01:10 johrenandez
The graph represents two complex numbers, z1 and z2.
z1 = 0 – 4i and z2 = 2 – 3i.
what are the real and imaginary parts of the conjugate of the quotient of z_1/z_2 ? use / for the fraction bar(s).
Answers: 1
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