Solving Quadratic Equations by Factoring and Square Roots

Match each equation with its solution using the Zero Product Property:

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve by factoring: x² - 9x = -20
The solutions are x = (a)   and x = (b)   .

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Match the following equations with their solutions.

• x² - 3x - 18 = 0

• x = 3 and x = -6

• x² + 3x - 18 = 0

• x = -9 and x = 2

• x² - 7x - 18 = 0

• x = 9 and x = -2

• x² + 7x - 18 = 0

• x = -3 and x = 6

• 3

• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Match the following equations with their solutions. (HINT: c is missing)

If the discriminant is positive, d ​ (a)   0, then there are ​ (b)   real solutions.

If the discriminant is zero, d ​ (c)   0, then there is ​ (d)   real solution.

If the discriminant is negative, d ​ (e)   0, then there are no real solutions.

• >
• 2
• =
• 1
• <
• 0
• 3
• ≧
• ≦

Organize these options into the right categories

Groups:

(a) No Real Solutions

,

(b) One Real Solution

,

(c) Two Real Solutions

• No solution

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

Solve: 4x² - 1 = 48

• x = 7/2 or -7/2
• x = 2/7 or -2/7
• x = 49/4 or -49/4
• x = 47/4 or -47/4