Solving Quadratic Equations

Solutions to quadratic equations are the points where the functions intersects the y-axis.

• true

• false

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

x²=25

• x = 5
• x = -5
• x = ±25
• x = ±5

2x²=100

• x = √50

• x = ±5√2

• x = √100

• x = ±√5

(x + 3)² = 36

• x = √36
• x = √39
• x = -9 and x = 3
• x = 9 and x = -3

Factor:  x² + 13x + 30

• (x + 3)(x + 10)
• (x + 5)(x + 6)
• (x + 2)(x + 15)
• (x + 1)(x + 30)

Factor:  x² - 2x - 24

• (x + 6)(x - 4)
• (x + 4)(x - 6)
• (x - 4)(x - 6))
• (x - 3)(x + 8)

Factor:  2x² - 5x + 2

• (2x - 1)(x - 2)
• (2x + 1)(x - 2)
• (2x - 2)(x - 1)
• (2x + 2)(x - 1)