1. Do Now – Take out your homework. Take You have 5 minutes.
How can you find out if a quadratic equation has only one solution without solving the equation?
How many solutions does y =5x2 - 10x + 5 have? Explain.

2. Focus Question: How can we find missing coefficients in a quadratic equation? What are sum and product of roots?
November 20, 2013

3. Missing coefficients:
Imaginary – “< 0”
Real and Unequal – “> 0”
Equal roots - “= 0 ”

4. 4x2 – nx + 1 = 0 For which value of n will the roots be equal?
What does my discriminant need to be?
b2 – 4ac
a = 4, b = n c = 1
n2 - 4(4)(1)
n = 4

5. 3x2 – 6x + n < 0 For which value of n will the roots be imaginary?
b2 – 4ac
a = 3 b = -6 c= n
36 – 4(3)(n)
n>3

6. nx2 – 6x + 5 > 0
For which value of n will the roots be real and unequal?
b2 - 4ac
a = n, b = -6 c = 5
(-6)2 - 4(n)(5)
36 – 20n
n < 9/5

7. Sum and Product of Roots
If the roots of ax2 + bx + c with a ≠ 0 are s1 and s2, then:

8. Find the sum of the roots
Find the product of the roots

9. PRACTICE

10. Project – Get into groups
Begin working on mini project.