Solving Quadratics (Factoring/Quadratic Formula)

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula...

9x² = 4 + 7x

• 
• 
• 
• No solution

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solution

Tags

CCSS.HSA-REI.B.4B

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }
• { 3, -6 }
• { -3, -6 }
• { 3, 6 }

Tags

CCSS.HSA-REI.B.4B

Solve by factoring and using Zero Product Property x² + 2x - 24 = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Tags

CCSS.HSA-REI.B.4B