Quadratics with Complex Roots

Solve for  $x:\ x^2-\ 4x+5$  

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve for $x:\ x^2-5x+8$  

• $x=\frac{7\pm\sqrt{5}i}{2}$

• $x=\frac{5\pm\sqrt{7}i}{2}$

• $x=\frac{8\pm\sqrt{7}i}{2}$

• $x=\frac{-5\pm\sqrt{-7}i}{2}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve for $x:\ 3x^2-6x+6$  

•  $x\ =\ 1\pm i$  

•  $x=3,\ -6$  

•  $x=2\pm2i$  

•  $x\ =\ -i\ \pm1$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

How many REAL solutions does this quadratic have?

• Infinitely Many

• One

• Two

• None

How many REAL solutions does this quadratic have?

• Infinitely many

• One

• Two

• None

What is the solution set for the equation  $x^2+49=0$  ?

•   $x=\pm7$  

•  $x=\pm7i$  

•  $x=\pm14i$  

•  $x=\pm49i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve for $x:\ x^2+6x+13$  

• $x=-3\pm2i$

• $x=7,6$

•  $x=2\pm\sqrt{3}i$ 

•  $x=2\pm3i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

 Find the roots:  $x^2+3x+17=-x+4$  

•  $x=-2\pm3i$  

•  $x=3+4i,\ 4+3i$  

•  $x=1\pm5i$ 

•  $x=5\pm3i$ 

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which of the following have complex roots?

 $f\left(x\right)\ =\ 4x^2+7x+8$ 

  $g\left(x\right)\ =\ 2x^2-17x-29$ 

  $h\left(x\right)\ =\ x^2\ +2x\ +9$  

•  $f\left(x\right)$ 

•  $f\left(x\right)$  and  $h\left(x\right)$  

•  $h\left(x\right)$  

•  $g\left(x\right)$  and  $h\left(x\right)$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which phrase correctly describes the roots of the following function? 

 $f\left(x\right)\ =\ 3x^2\ +\ 3x\ +\ 3$  

• 2 Real Roots

• 2 Imaginary Roots

• 1 Real Root

• 1 Imaginary Root

Tags

CCSS.HSA-REI.B.4B