Chapter 9.3, Problem 2CYU

To determine

The solutions of the equation $2x^2-8x=0$ by graphing.

Answer to Problem 2CYU

  $x=4$

Explanation of Solution

Given:

The equation, $2x^2-8x=0$ .

Concept Used:

The solutions of a quadratic equation are given by the points where the graph of the function intersects the x-axis.

In order find the solutions of the given equation $2x^2-8x=0$ , first plot the graph of the function $y=2x^2-8x$ and identify the zeros of the function.

The zeros of the function are the points where the graph of the function intersects the x-axis.

The graph of the function $y=2x^2-8x$ is shown below,

  

From the above graph of the function it is clear that the zeros of the function occur at the points $\left(0,0\right),\text{ and }\left(4,0\right)$ .

Thus, the solutions of the function are $x=4$ .