## Equality rule

Consider two complex numbers \( z_{1}=a+bi \) and \( z_{2}=c+di \) The two complex numbers are said to be equal if and only if the…

A complex number is any number that can be written as \( a+bi, \) where \( i \) is the imaginary unit and \( a…

The general form of a quadratic equation is given by \[ ax^{2}+bx+c=0 \] Itâ€™s roots are given by the quadratic formula: \[ x=\frac{-b \pm \sqrt[]{b^{2}-4ac}}{2a}…

Consider the quadratic equation \( x^{2}+1=0 \) . This equation does not have a real root. However, a solution to this equation exists in a…