Question

Solve by graphing 2x^2 - 5x + 2 = 12. Find the x-values and type their numerical values in the two blanks provided. Round each result to the nearest thousandth.

Answer 1

Given the following function:

`f(x)=2x^2-5x+2`

We want to know the 'x' values for

`f(x)=12`

If we define

`g(x)=12`

We want the interception between f(x) and g(x). Plotting both of them, we get the following:

Where the red parabola is the f(x) function, and the blue line is the g(x) function.

If you graph them, you're going to find out that the interception are in the points:

`\lbrace(-1.312,12),(3.812,12)\rbrace`

Then, our x values are:

`\begin{cases}x_1=-1.312 \\ x_2=3.812\end{cases}`