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.B.4B

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

•  $x=-5$  

•  $x=5$  

•  $x=0$  

Tags

CCSS.HSA-REI.B.4B

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

•  $x=-2$  

•  $x=2$  

•  $x=2$  & $x=0$  

•  $x=-2$  & $x=0$  

Tags

CCSS.HSA-REI.B.4B

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Tags

CCSS.HSA-REI.B.4B

Find the roots of  $x^2+18x+27=8x+3$   by factoring.


Hint: Set the equation equal to zero first!

•  $\left\{-6,-4\right\}$  

•  $\left\{4,\ 6\right\}$  

•  $\left\{-6,\ 4\right\}$  

•  $\left\{-4,\ 6\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Tags

CCSS.HSA-REI.B.4B

Solve:

5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no real solution

Tags

CCSS.8.EE.A.2