Chapter EP, Problem 5.2.3EP

To determine

To find: the solution of the quadratic equation $x^2-4x-5=0$ using the given graph.

Answer to Problem 5.2.3EP

Solution of the quadratic equation is $x=5,x=-1$.

Explanation of Solution

Given information:

The graph provided is

  

Concept used:

Solution of a given graph can be found by the x -intercept of the graph.

If x -intercept of a graph be a and b , then the solution of the corresponding quadratic equation will be $x=a,x=b$.

Consider the given equation.

  $x^2-4x-5=0$

Now, consider the given graph.

  

The graph intersects the x -axis at two points.

  $x=5,x=-1$

So, solution of the given quadratic equation is

  $x=5,x=-1$