Find the discriminant value for x^2-4x-32 = 0. What does this indicate?
For a quadratic equation ax^2 + bx + c = 0, the value of the discriminant is D = b^2 - 4*a*c.
If D > 0 the equation has two distinct real roots. If D = 0, the equation has a common real root and if D < 0 the solution of the equation is complex.
For x^2 - 4x - 32 = 0
D = (-4)^2 - (4*1*-32) = 144
As the discriminant is greater than 0, the equation has 2 distinct real roots.