Chapter 9.3, Problem 50PFA

To determine

To determine the solutions of the quadratic equation.

Answer to Problem 50PFA

C 1,4

Explanation of Solution

Given information :

The function given is $x^2-5x+4=0$ .

Since the given function has a graph plotted for it, use the points of x-intercept to find the solutions.

In this case, the points are $\left(1,0\right)$ and $\left(4,0\right)$ .

To check the correctness, put these values in place of ‘x’ in the given equation. If the right and left hand sides match, that means it is success.

  $=>{\left(1\right)}^2-5\left(1\right)+4=0$

Putting $x=1$ .

  $=>1-5+4=0$

Simplifying this

  $=>0=0$

  $=>{\left(4\right)}^2-5\left(4\right)+4=0$

Putting $x=4$ .

  $=>15-20+4=0$

Simplifying this

  $=>0=0$

Hence, it is a success, the roots of the equation are 1 and 4 .