Question

How do you solve the equation `2x^2=x+15` by graphing?

Answer 1

`(-2.5, 0); (3, 0)`

Explanation:

Given -

`2x^2=x+15`

Have it as -

`-2x^2+x+15=0`
`y=-2x^2+x+15`

Its vertex is

`x=(-b)/(2a)=(-1)/(2 xx(-2))=1/4=0.25`

After finding the vertex take a few points on either side of it.
Calculate their corresponding `y` values.
Plot them on a graph.
Take the coordinates where the curve cuts the x-axis.