Solving Quadratics Using Square Roots and Factoring

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

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

• a = −6, 4

• a = 6, −4

• a = 12, −2

• a = 8, −3

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

x² + 13x + 12 = 0

• x = −12, −1

• x = 12, 1

• x = 13, 1

• x = −13, −1

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9

x² + 4x - 32 = 0

• x= -8, 4

• x= 8, -4

• x= -8, -4

• x = -2, 16

Solve by taking the square root:

x² = 49

• -7

• 7

• 49

• ±7

2x²=100

• x = ±25

• x = ±√50

• x = ±√100

• x = ±√5

Solve by taking the square root:

4x² = 100

• ±10

• ±25

• ±5

• 5

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

• x = 4 and x = −3

• x = 2 and x = 1

• x = −4 and x = 3

• x = −2 and x = 1

Solve by factoring!

• -2, 4

• -8

• ±8

• No real solution