Quadratic Formula

Look at the equation below.

 $x^2+2x-5=2$  

Which values of x satisfy the equation?

•  $-1\pm2\sqrt{2}$  

•  $1\pm2\sqrt{2}$  

•  $-1\pm2i\sqrt{2}$  

•  $1\pm2i\sqrt{2}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Look at the equation below.

 $x^2+5x+7=0$  

What are the solutions of the equation?

•  $\frac{-5\pm\sqrt{3}}{2}$  

•  $\frac{-5\pm i\sqrt{3}}{2}$  

•  $\frac{-5\pm\sqrt{53}}{2}$  

•  $\frac{-5\pm i\sqrt{53}}{2}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.7

Solve:

 $x^2+10x+35=0$  

•  $-5\pm2i\sqrt{5}$  

•  $-5\pm i\sqrt{5}$  

•  $-5\pm2i\sqrt{10}$  

•  $-5\pm i\sqrt{10}$  

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula: $-x^2+4x=13$  

•  $2\pm3i$  

•  $-2\pm3i$  

•  $2\pm i\sqrt{17}$  

•  $-2\pm i\sqrt{17}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Will the following equation have an IMAGINARY answer
11x²-9x+3=0

• yes

• no

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.7

Solve By Completing the Square:

 $p^2-10p-52=0$  

•  $5\pm\sqrt{77}$  

•  $-5\pm\sqrt{77}$  

•  $5\pm77$  

•  $5+i\sqrt{77}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve By Completing the Square:

 $x^2+6x+27=0$  

•  $3\pm\sqrt{18}$  

•  $3\pm i\sqrt{18}$  

•  $-3\pm i\sqrt{18}$  

•  $-3\pm\sqrt{18}$  

Tags

CCSS.HSA.REI.B.4