Chapter 9.3, Problem 18PPS

To determine

The solutions of the equation $2x^2-16x=-30$ by graphing and estimate the roots nearest tenth

Answer to Problem 18PPS

  $x=0.9,7.08$

Explanation of Solution

Given:

The equation, $2x^2-16x=-30$ .

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 $2x^2-16x=-30$ , first plot the graph of the function $y=2x^2-16x+30$ 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 $y=2x^2-16x+30$ is shown below,

  

From the above graph of the function it is clear that the zeros of the function occur at the points $\left(0.92,0\right),\text{ and }\left(7.08,0\right)$ .

Thus, the solution for x is $x=0.9,7.08$