The Discriminant and Quadratic Formula

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number of solutions

• The axis of symmetry

If the discriminant is zero, then the quadratic has...

• no real solutions

• two real solutions

• 1 real solution

• 256,  2 real solutions

• - 256, 0 real solution

• 248, 2 real solutions

• -248, 0 real solution

If the discriminant is negative, then the quadratic has...

• one real solution

• two real solutions

• no real solution

Determine the value of the discriminant and name the nature of the roots for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400, 2 real roots

• 0, 1 real repeated root

• -400, 2 imaginary roots

• -3, 2 imaginary roots

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