Chapter A.7, Problem 74AYU

To determine

To explain:The character of solution of given equation in complex number system.

Explanation of Solution

Given information:

The equationis $2x^2-4x+1=0$ .

Calculation:

Consider the equation.

  $2x^2-4x+1=0$

Check for $b^2-4ac$ ,

  $\begin{array}{c}{\left(-4\right)}^2-4\left(2\right)\left(1\right)=16-8\\ =8\end{array}$

As $b^2-4ac>0$ , there are two unequal real roots of the solution.