Question

-Quadratic Equations-Graph on a complex plane; then find its absolute value.

Answer 1

The complex number is 2 - i.

In complex plane vertical axis represent the imaginary axis and horizontal axis respresent the real axis.

Plot the point on complex plane.

The absolute of a complex number a + bi is,

`A=\sqrt[]{a^2+b^2}`

Determine the absolute value of complex number 2 - i.

`\begin{gathered} A=\sqrt[]{(2)^2+(-1)^2} \\ =\sqrt[]{4+1} \\ =\sqrt[]{5} \end{gathered}`

So absolute value is,

`\sqrt[]{5}`