Quadratic Formula with Rational Solutions

• discriminant: perfect square

• discriminant: non-perfect square

• discriminant: negative

• 2 x-intercepts

• 1 x-intercept

If the discriminant of a quadratic equation is 25, the following is true about the solutions:

• 1 solution

• 2 solutions

• rational

• irrational

• complex

With a quadratic equation, which methods or concepts require you to set the equation equal to zero first?

• discriminant

• directrix

• quadratic formula

• completing the square

• factoring

Complete the quadratic formula

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Make a true statement about about Graph A

The discriminant is ​ (a)  

There will be ​ (b)  

• zero

• one real solution

• positive

• negative

• two complex solutions

• two real solutions

Make a true statement about about Graph B

The discriminant is ​​ (a)  

There will be ​ ​ (b)  

• negative

• two complex solutions

• positive

• zero

• one real solution

• two real solutions

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Solve using the Quadratic Formula

6x² - 52 = 11x

• x = 4, -2.17

• x = -4, 2.17

• x = -3.71, -1.88

• x = 3.71, 1.88