Solving Quadratics by Factoring and Square Roots Practice

Solve the following quadratic equation by factoring.

x² + 2x - 15 = 0

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

3x² = 12

• ± 2
• 2
• ± √12
• ± 4

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

What are the factors AND solutions of y= x² + 2x – 3 = 0

• The zeros are 2 and -1 because

  y=(x - 2)(x + 1)

• The zeros are -1 and 3 because

  y=(x + 1)(x - 3)

• The zeros are -2 and 1 because

  y=(x + 2)(x - 1)

• The zeros are 1 and -3 because

  y=(x - 1)(x + 3)

x²-7x=0

• x= 0, -7

• x= 0, 7

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17
• x= ²/₃, 16
• x=-7, ^-3/₂
• x=15, -³/₇

• -2, 4
• -8
• ±8
• No real solution