Solving Quadratics by Factoring

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

Solve:  $2x^2-x-15=0$  

•  $x=-\frac{5}{2}$  and  $x=3$  

•  $x=\frac{5}{2}$  and  $x=-3$  

•  $x=\frac{5}{2}$  and  $x=3$  

•  $x=-\frac{5}{2}$  and  $x=-3$  

Tags

CCSS.HSA-REI.B.4B

Solve:  $3x^2+7x-6=0$ 

•  $x\ =\ 3$  and  $x=-\frac{2}{3}$  

•  $x=-3$  and  $x=\frac{2}{3}$  

•  $x=-3$  and  $x=-\frac{2}{3}$  

•  $x=3$  and  $x=\frac{2}{3}$  

Tags

CCSS.HSA-REI.B.4B

Solve:  $2x^2+x=6$ 

•  $x=6$  and  $x=\frac{5}{2}$  

•  $x=-2$  and  $x=\frac{3}{2}$  

•  $x=\frac{3}{2}$  and  $x=2$  

•  $x=-\frac{5}{2}$  and  $x=6$  

Tags

CCSS.HSA-REI.B.4B

Solve:   $2x^2-3x=2x-2$  

•  $x=\frac{1}{2}$  and  $x=2$  

•  $x=-2$  and  $x=-\frac{1}{2}$  

•  $x=2$  and $x=-2$  

•  $x=\frac{1}{2}$  and  $x=-2$  

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 9x + 20 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 7x + 12 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 13x + 12 = 0

• x = -1, x = -12
• x = -1, x = -24
• x = -2, x = -6
• x = -2, x = -12

Tags

CCSS.HSA-REI.B.4B

Solve
 2x² - 3x - 2 = 0

• x = 1, x = -1
• x = -1/2, x = 2
• x = 1/2, x = 2
• x = 1/2, x = 1

Tags

CCSS.HSA-REI.B.4B