Nature of the Roots (Combination of Straight Line and the Curve)

Nature of the Roots (Combination of Straight Line and the Curve)

When you have a straight line and a curve, you can solve the equation of the straight line and the curve simultaneously and form a quadratic equation, ax2 + bx + c = 0. The discriminant, b 2 4ac  gives information about the number of points of intersection.