Draw the graph of y = 2x² + x – 6 and hence solve 2x² + x – 10 = 0.

We are given y = 2x² + x – 6

So taking the values of X in between –3 to 4 we can find various value of y and put them in graph

Again we are given

2x² + x – 10 = 0

we can write the above expression as

⇒ 2x² + x–6–4 = 0

⇒ y–4 = 0 (as y = 2x² + x – 6)

⇒ y = 4

Now we can draw another pair of value using the above data

Now we can draw the graph and the intersection of the two lines will give the roots for the equation. Where Y₁ and Y₂ are two lines showing y = 2x² + x – 6 and y = 4 respectively

here from the graph its clear that the point of intersection are (–2.5,4) and (2,4) so the roots are (–2.5,2)