Most Appropriate Method to Solve Quadratic Equations

• Isolation Method

• Factoring

• Completing the Square

• Quadratic Formula

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CCSS.HSA-REI.B.4B

When using factoring to solve a quadratic equation, what must be true?

• The equation must be set equal to 1.

• The equation must be set equal to 10.

• The equation must be set equal to 0.

• It is not necessary to set the equation equal to anything.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
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

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

When should you decide to Complete the Square?

• When the a value is larger than 1

• When the middle term is odd

• When a = 1 and the middle term is even

Tags

CCSS.HSA-REI.B.4B

How do I find the c term to make a perfect square when completing the square?

• Move c to the other side

• b value divided by 2 to the second power

• Make 2 equations, one = + and one = -

• Square root both sides

Tags

CCSS.HSA-REI.B.4B

Solve the following equation for x:
0 = (x − 4)² − 15

• 4 ± √15

• 19

• 2 ± √15

• −4 ± √15

Tags

CCSS.HSA-REI.B.4B

x² - 16 = 0

• x = 4

• x = -4

• x = -4 and 4

• x = 16 and -16

Tags

CCSS.HSA-REI.B.4B