Question

The equation of the straight line joining the points of intersections of x^2 + y^2 = 12 and y^2 = 4x is given by?

Answer 1

1. x = -2
2. x = 2
3. y = -2
4. y = 2

Answer 2

x^2 + y^2 = 12 ; replace y^2 with 4x

x^2 + 4x = 12 and solve the quadratic

Answer 3

most likely one solution will be extranuous, so test them out to be sure

Answer 4

I got two solutions: x = -6 and x = 2. What now?

Answer 5

y^2 = 4x

is y^2 ever negative?

Answer 6

and ... which one fits the options?