Question
Express z = 1/-5 − i in standard (algebraic) form. Further, give an Argand diagram in which z, –z and − z are plotted.
Answer :
Word Count : 151
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Skip in 10
We are asked to express $$ z = \frac{1}{-5 - i} $$ in standard algebraic form and then visualize $z$, $-z$, and $\overline{z}$ on the Argand plane. Step 1: Rationalize the denominator $$ z = \frac{1}{-5 - i} \cdot \frac{-5 + i}{-5 + i} = \frac{-5 + i}{(-5)^2 - (i)^2} = \frac{-5 + i}{25 - (-1)} = \frac{-5 +
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