Solving Quadratics Completing the Square

• A
• B
• C
• D

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

• -6, -2
• -2, 6
• 2, 6
• -6, 2

Determine the values of

a, b, and c for

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -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.

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Solve the following quadratics equation by completing the square...

x² + 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = -5 ± √5

Solve the following quadratics equation by completing the square...

x² + 12x + 10 = 0

• x = -6 ± √26

• x = 6 ± √26

• x = 26 ± √6

• x = -26 ± √6

Solve the following quadratics equation by completing the square... x² - 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = 5 ± √5