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x = 9/2 or x = -2 Solved by using the quadratic equation formula.
The solutions work out as: x = 52/11, y = 101/11 and x = -2, y = -11
The product of the roots of the equation 2x2 -x -2 = 2 is 2x2 -x -2 = 2.
y = 2x2 + 3x + 6 Since a > 0 (a = 2, b = 3, c = 6) the graph opens upward. The coordinates of the vertex are (-b/2a, f(-b/2a)) = (- 0.75, 4.875). The equation of the axis of symmetry is x = -0.75.
Differentiate the function with respect to x: d/dx (x3 - 2x2 - 5x + 6) = 3x2 - 4x - 5 Set this derivative = 0 and solve. 3x2 - 4x - 5 = 0 implies that x = -0.7863 or 2.1196 (to 4 dp)