Solving Quadratic Equations by Factoring

What is the first step in solving this quadratic equation? $x^2+5x=6$  

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What are the 2 characteristics we look for when trying to solve a quadratic equation?

• A positive coefficient for $x^2$ & the equation set equal to 0.

• Factor and cancel

• Distribute and combine like terms

• There is no such thing as a quadratic equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve the following quadratic equation: $x^2-6x-7=0$  

•  $x=7\ \ \ \&\ \ \ x=-1$  

•  $x=1\ \ \ \&\ \ \ x=-7$  

•  $x=0$  

•  $x=\frac{-7}{5}$  

Tags

CCSS.HSA.REI.B.4

Solve the following quadratic equation: $x^2+25=10x$  

•  $x=-5$  

•  $x=5$  

•  $x=0$  

Tags

CCSS.HSA.REI.B.4

Solve the following quadratic equation: $4x^2-9=0$  

•  $x=\frac{3}{2}$  &  $x=-\frac{3}{2}$  

•  $x=\frac{2}{3}$  & $x=\frac{-2}{3}$  

•  $x=\frac{9}{4}$  

•  $x=\frac{4}{9}$  

Tags

CCSS.HSA.REI.B.4

Solve the following quadratic equation: $5x^2=10x$  

•  $x=-2$  

•  $x=2$  

•  $x=2$  & $x=0$  

•  $x=-2$  & $x=0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the following quadratic equation:
Solve the following quadratic equation: $2x^2-5x+2=0$  

•  $x=\frac{-1}{2}$  & $x=-2$  

•  $x=-1$  & $x=-4$  

•  $x=4$  & $x=1$  

•  $x=\frac{1}{2}\ \&\ x=2$  

Tags

CCSS.HSA.REI.B.4

Solve the following quadratic equation: $x^2-13x-30=0$  

•  $x=3\ \ \ \&\ \ \ x=10$  

•  $x=-3\ \ \ \&\ \ \ x=-10$  

•  $x=-2\ \ \ \&\ \ \ x=15$ 

•  $x=2\ \ \ \&\ \ \ x=-15$  

Tags

CCSS.HSA.REI.B.4

Solve the following quadratic equation:
 $x^2+5x=6$  

•  $x=2\ \ \ \&\ \ \ x=3$  

•  $x\ =-1\ \ \ \&\ \ \ x=6$  

•  $x=1\ \ \ \&\ \ \ x=-6$  

•  $x=-2\ \ \ \&\ \ \ x=-3$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation:
 $x^2=49$  

•  $x=0$  

•  $x=7$  

•  $x=-7$  

•  $x=7\ \ \ \&\ \ \ x=-7$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4