Solving Quadratic Equations

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

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

• 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

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

• Subtract 5 from both sides of the equation

• Subtract 21 from both sides of the equation

• Add 25 to 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

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA-REI.B.4B

Solve by the Square Root method:

-5x² = -50

• ± 5

• ± 10

• ± √10

• -10

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the solutions. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Tags

CCSS.HSA-REI.B.4B