Download 9.6 The Quadratic Formula and the Discriminant.notebook

9.6 The Quadratic Formula and the Discriminant.notebook
February 24, 2016
9.6
The Quadratic Formula and the Discriminant
Day Two
At the end of this lesson I will be able to:
use the discriminant to determine how many
solutions a quadratic equation will have
solve application problems with the quadratic
formula
The quadratic formula can be derived using completing the square.
9.6 The Quadratic Formula and the Discriminant.notebook
February 24, 2016
The discriminant is the stuff under the
square root in the quadratic formula
If b2-4ac>0, there are two solutions
If b2-4ac=0, there is one solution
If b2-4ac<0, there are no solutions
Solve the quadratic equation using the
quadratic formula.
One Solution: 2x2 - 28x = -98
9.6 The Quadratic Formula and the Discriminant.notebook
February 24, 2016
no real solutions: 6x2 + x + 12 = 0
A ninja is trying to throw a throwing star over the castle wall.
The ninja is in a tree 7 ft from the ground. The star must reach a
height of 16 ft. If the ninja throws the star with an initial velocity
of 24ft/sec, does the star have a chance of going overthe wall?
h=-16t2+vt+7
9.6 The Quadratic Formula and the Discriminant.notebook
Assignment
page 587
problems 22, 31, 32, 34
February 24, 2016