Given Z1 = 2+3i and Z2 = 2-i. Express racZ1Z2 in the form a+bi where a,b R.

May 30, 2026Mathematics

ScanSolve AI Answer

May 30, 2026

Answer

2+3i $and$ Z_2 = 2-i$.

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Here are the solutions for the complex number problems:

Question 26: Given $Z_1 = 2+3i$ and $Z_2 = 2-i$ .

a) Express $\frac{Z_1}{Z_2}$ in the form $a+bi$ where $a,b \in \mathbb{R}$ . Step 1: Substitute the given values for $Z_1$ and $Z_2$ and multiply by the conjugate of the denominator. $\frac{Z_1}{Z_2} = \frac{2+3i}{2-i}$

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Welcome back MIRANOEL — been a while! Let's pick up where you left off. Here are the solutions for the complex number problems: Question 26: Given Z_1 = 2+3i and Z_2 = 2-i.

Asked on May 30, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 30, 2026

Welcome back MIRANOEL — been a while! Let's pick up where you left off. Here are the solutions for the complex number problems: Question 26: Given Z_1 = 2+3i and Z_2 = 2-i. a) Express (Z_1)/(Z_2) in the form a+bi where a,b R. Step 1: Substitute the given values for Z_1 and Z_2 and multiply by the conjugate of the denominator. (Z_1)/(Z_2) = (2+3i)/(2-i)