1 The discriminant of a quadratic function is b2 - 4ac.
Given a quadratic equation in the form ax? + b + c,
if b2
4ac > 0, then the equation has two real solutions.
if b2 - 4ac = 0, then the equation has one real solutions.
if b2 - 4ac <0, then the equation has no real solutions.
Use the discriminant to determine the number of solutions for 10x2 - 4x + 1
a
be
Since b^2 - 4ac is
- greater than 0,
- equal to 0,
- less than 0,
the equation has
- two real solution
- one real solution
- no real solution