Solving Quadratic Equations

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

 $x^2-7x=0$  

Solve by the method of your choice.

• x = 7 only
  

• x = 0 only
  

• x = 0 and 7
  

• There is no real answer for this equation.
  

Tags

CCSS.HSA-REI.B.4B

 $3x^2-10x+1=0$  

Solve by the method of your choice.

•  $x=\frac{-10\pm\sqrt{88}}{6}$  

•  $x=\frac{-5\pm2\sqrt{22}}{3}$  

•  $x=\frac{10\pm\sqrt{112}}{6}$  

•  $x=\frac{5\pm\sqrt{22}}{3}$  
  

Tags

CCSS.HSA-REI.B.4B

Solve the following for x by using the Quadratic Formula

2x²+6x=7

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by finding square roots and simplify completely:
 $x^2-16=0$ 

•  $x=\pm16$  

•  $x=4$  

•  $x=\pm4$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:
 $x^2+10x+24=0$ 

•  $x=6\ or\ x=4$  

•  $x=\pm\sqrt{14}$  

•  $x=-6\ or\ x=-4$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:
 $x^2+2x-15=0$ 

•  $x=3\ or\ x=-5$  

•  $x=\pm\sqrt{13}$  

•  $x=-3\ or\ x=5$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:
 $x^2-10x+16=0$ 

•  $x=-2\ or\ x=-8$  

•  $x=\pm\sqrt{6}$  

•  $x=2\ or\ x=8$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:
 $x^2+10x+9=0$ 

•  $x=1\ or\ x=9$  

•  $x=-1\ or\ x=-9$  

•  $x=-2\ or\ x=-18$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B