Solving Quadratic Equations

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

 $3x^2-10x+1=0$  

Solve using quadratic formula.

The picture shows an example.

•  $x=\frac{-10\pm\sqrt{88}}{6}$  

•  $x=\frac{-5\pm2\sqrt{22}}{3}$  

•  $x=\frac{10\pm\sqrt{112}}{6}$  

•  $x=\frac{5\pm\sqrt{22}}{3}$  
  

Tags

CCSS.HSA-REI.B.4B

x²+8x+12=0

Solve by factoring (inverse FOIL).

The picture shows an example.

• x= -6 and -2

• x=6 and 2

• x= 4 and 4

• x= -4 and 4

Tags

CCSS.HSA-REI.B.4B

x²+3x+2x+6=0

Solve with factor by grouping.

The picture shows an example.

• x= 3 and 2

• x= 3 and -2

• x= -3 and -2

• x= -3

Tags

CCSS.HSA-REI.B.4B

 $x^2-25=0$  
Solve by the square root method.
The picture shows an example.

•  $x=\pm25$  

•  $x=\pm5$  

• x=5

• no answer

Tags

CCSS.HSA-REI.B.4B

3x²+10x+8=0

Solve using factoring. (You can use the inverse FOIL method or the AC method)

The picture shows an example.

• x= 4/3 and 2

• x= 4/3 and 2/3

• x= -4 and -2

• x= -4/3 and -2

Tags

CCSS.HSA-REI.B.4B

5x²-15x=0

Solve by factoring out the greatest common factor.

The picture shows an example.

• x=3

• x=0 and 3

• x=0

• x=3 and -3

Tags

CCSS.HSA-REI.B.4B

(x+2)²=16

Solve using the square root method.

The picture shows an example.

• x= -2 and -6

• x= 2 and 6

• x= 4 and -4

• x=2 and -6

Tags

CCSS.HSA-REI.B.4B

When solving quadratics you are finding the (check all that apply)?

• x-intercepts

• roots

• zeros

• y-intercepts

Which method will always work?

• quadratic formula

• greatest common factor

• square root method

• factor by grouping

Tags

CCSS.HSA-REI.B.4B