Solving Quadratic Equations

What are the zeros? (a)  

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1
• (x + 1)(x - 3); x=-1, x=3
• (x + 2)(x - 1); x=-2, x=1
• (x - 1)(x + 3); x=1, x=-3

Tags

CCSS.HSA-REI.B.4B

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Tags

CCSS.HSA-REI.B.4B

Factor and Solve

2x² - 3x - 2 = 0

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

• Factor

• Isolation/Solve with Square Roots

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

What are the steps to solving this by completing the square?

a² + 10a + 21 = 0

• Take the square root of both sides of the equation

• Add 25 to both sides of the equation

• Subtract 5 from both sides of the equation

• Rewrite the left hand side as a (binomial)²

• Subtract 21 from both sides of the equation

Tags

CCSS.HSA-REI.B.4B

​Complete the quadratic formula

Black question mark ​ (a)  

Blue question mark ​ (b)  

Red question mark ​ (c)  

Tags

CCSS.HSA-REI.B.4B

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B