Question

Find the intersection points of the parabola y=−3x2−2x+2 and the line 10x−y=−11. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3,4) you would enter (1,2),(3,4).

Answer 1

Answer:

(-1,1),(-3,-19)

Step-by-step explanation:

y=−3x²−2x+2     (1)

10x−y=−11

y=10x+11    (2)

−3x²−2x+2 = 10x+11

3x² + 12x + 9 = 0

x²  + 4x + 3 = 0

(x + 1)(x+3) = 0

x= -1 or x = -3

y = 1 or y = -19