11-03 to 11-06 Solving Quadratic Equations

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

How many solutions does the equation 4x² + 4x + 1 = 0 have?

• 0
• 1
• 2
• More than 2

Tags

CCSS.HSA-REI.B.4B

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA-REI.B.4B

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2
• (5 - √15)/2  ,  (5 + √15)/2
• (5 - i√65)/2  ,  (5 + i√65)/2
• (5 - √65)/2  ,  (5 + √65)/2

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

Solve x² - 2x - 8 = 0 using the quadratic formula

• x = 2 , -3

• x = 4 , -2

• x = 2 , -4

• x = 3 , -2

• No Solution

Solve 2p² - 3a + 1 = 0 using the quadratic formula

• x = 5, -4

• x = 4, -5

• x = 1, 1/2

• x = -1/2, -1

• No Solution

Which of the following is used to find the discriminant?

• the quadratic formula

• b² + 4ac

• b² - 4ac

• the square root of b² - 4ac

• the square root of b² + 4ac

Tags

CCSS.HSA-REI.B.4B