x = ­b   √(b  ­ 4ac)                  2a

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A110­6QuadraticFormulaFall14.notebook
April 27, 2015
Algebra 1
Ch.10 Notes Page 61
P61 10­6 Using the Quadratic Formula
Sep 2­8:31 AM
The Quadratic Formula
Used to find Solutions (Zeros, Roots, etc...)
when you cannot factor a quadratic equation.
*It will work even if you can factor the problem.
ax2 + bx + c
x = ­b +/­ √(b2 ­ 4ac)
2a
Apr 30­8:46 AM
1
A110­6QuadraticFormulaFall14.notebook
April 27, 2015
Using the Quadratic Formula
x = ­b +/­ √(b2 ­ 4ac)
2a
x2 ­ 5x + 6
x2 ­ 2x ­ 8
Apr 30­8:46 AM
Finding Approximate Solutions
x = ­b +/­ √(b2 ­ 4ac)
2a
­3x2 + 5x ­ 2
2x2 + 4x ­ 7
Apr 30­8:47 AM
2
A110­6QuadraticFormulaFall14.notebook
April 27, 2015
Football Problem
A football player kicks a ball and gives it an initial upward velocity of 47ft/sec. The starting height of the football is 3ft. If no one catches the football, how long will it be in the air?
H = ­16T2 + VT + C (V is Upward Velocity and C is Starting Height)
H = ­16T2 + 47T + 3
Use Quadratic Formula
Apr 30­8:47 AM
Methods for Solving Quadratic Equations
Apr 30­8:47 AM
3
A110­6QuadraticFormulaFall14.notebook
April 27, 2015
Which Method would you choose to solve these equations???
a. 2x2 ­ 6 = 0
Square Roots
b. 6x2 +13x ­ 17 = 0
Quadratic Formula
c. x2 + 2x ­ 15 = 0
Factor
2
d. 16x ­ 96x + 45 = 0
Quadratic Formula
e. x2 ­ 7x + 4 = 0
Quadratic Formula
Apr 30­8:47 AM
HW #75
10­6 P588 #1­9,16
Please put your name and class period at the top of the homework.
Also include the homework number.
Nov 19­2:35 PM
4
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