The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.

Given:

The equation are

To find:

The coordinates of intersection points.

Solution:

We have,

         ...(i)

          ...(ii)

From (i) and (ii), we get

If a quadratic equation is , then by quadratic formula:

In the equation , we have .

Using quadratic formula, we get

Now,

and

and

and

Putting x=1.74 in (i), we get

Putting x=-3.74 in (i), we get

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

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