It is known that the square of parabola y = negative X and the line y = K (x + 1) intersect at two points a and B

Simultaneous equations, eliminate y, get: K & # 178; X & # 178; + (2k & # 178; + 1) x + K & # 178; = 0
1. K = 0, which does not satisfy the two intersection points;
2. When k ≠ 0, the discriminant is more than 0, then 4K & # 178; + 1 > 0 holds
Then the parabola and the straight line always have two intersections

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