Question

the straight line y=3x+2 intersects the curve y=2x2+7x-11 at two points find the coordinates of these two points

Answer 1

Answer:

the intersection of the two cuves is obtained when ( or where) both coordinates x and y are equal for both equations.

you have yo find x such that : 3x + 2 = 2x² + 7x -11

=> 2x² +4x -13 = 0

=> x = 1 +/- 1/2*sqrt(30).

To find y, replace x by x1 AND x2 ( you have 2 values above: +/- means plus or minus) in the equation y = 3x + 2

to check that you ( and I) made no mistake, you can replace x in the other equation as well and check that you find the same values.