Quadratics and Square Roots

Solve for the values of x:

(x + 2)(x - 3) = 0

• x= 2, x= 3

• x= -2, x= -3

• x= 2, x= 3

• x= -2, x= 3

Solve for the values of x:

(2x - 1)(x + 4) = 0

• x=1/2, x= -4

• x=1/2, x= 4

• x= 1, x=-4

• x=-2.5, x=4

Solve

(4x + 3)(4x - 3) = 0

• x= ^-3/₄, x= ³/₄

• x= ^-4/₃, x= ⁴/₃

• x= ^-9/₁₆, x= ⁹/₁₆

• x= ^-16/₉, x=¹⁶/₉

 x² - 81 = 0

• x = 11, -11
• x =±9
• x = 7, -7
• x=±9i

-5x² = -500

• no solution

• +25, -25

• +100, -100

• +10, -10

(x + 1) ² = 25

Remember to add the ± as soon as you take the square root of both sides, THEN move the one over to get x by itself.

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Solve
4m² - 100 = 0

• m=25, -25

• m=96

• m=5, -5

• m=-96

Solve
a² + 2a - 24 = 0

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

Solve
a² + 2a - 24 = 0

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

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.