Solve Quadratic Equations by Factoring and Completing the Square

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.

What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

The discriminant is

• ax²  + bx  +  c

• - b/2a

• b² - 4ac

• b² + 4ac

What are the solutions to the quadratic equation?

• 0 and 5

• 0 and -5

• 5 and -5

• 1 and 5

Solve by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

Solve by completing the square. Write the answer as #+-square root.

3x^2+36x-15=0

Mathematical Equivalence

ON

Solve the following quadratics equation by completing the square (a)  

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x = 5 Step 1: x² + 6x + ​ (a)   = ​ (b)   What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Solve by completing the square. Write the answer as #+-square root.

k² − 12k + 23 = 0

Mathematical Equivalence

ON