Best Methods Quadratics

• Extracting the Root

• Factoring

• Completing the Square

• Quadratic Formula

What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Which method is MOST EFFICIENT to solve:
8x²  -  6  = 0

• Square Root Method

• Greatest Common Factor (GCF)

• Complete the Square

• Quadratic Formula

Which method is MOST EFFICIENT to solve:
5x²  -3x - 7  = 0

• Square Root Method

• Greatest Common Factor (GCF)

• Complete the Square

• Quadratic Formula

The discriminant is

• ax²  + bx  +  c

• - b/2a

• b² - 4ac

• b² + 4ac

Solve
x² + 2x - 24 = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Solve x^2 - 3x - 4 = 0 using the quadratic formula.

•  x = 4 and -1

• x = -4 and -1

• x = 4 and 1

• x = -4 and 1

Q1. What is the solution to the equation x^2 - 64 = 0?

• -2, 4

• -8

• ±8

• No real solution

• -4, 2
• -2, 4
• -16
• -4