Solve quadratics with complex roots

Solve:  $x^2+6x+13=0$  

• -3+2i, -3-2i

• 6,7

•  $2+i\sqrt{3},2-i\sqrt{3}$  

• No solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve: $x^2-5x+8=0$   

•  $\frac{-5+i\sqrt{7}}{2},\frac{-5-i\sqrt{7}}{ }$  

•  $\frac{5+i\sqrt{7}}{2},\frac{5-i\sqrt{7}}{2}$  

•  $\frac{8+i\sqrt{7}}{2},\frac{8-i\sqrt{7}}{2}$  

•  $\frac{5+\sqrt{57}}{2},\frac{5-\sqrt{57}}{2}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve for x: 3x² - 6x + 6 = 0

• x = 1± i
• x = 3, -6
• x = 4.8, 2.7
• Undefined

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm i\sqrt{131}}{18}$  

•  $\frac{11\pm i\sqrt{131}}{18}$  

•  $\frac{11\pm i\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by the Quadratic Formula:

 $18j^{2\ }+9j\ +4=7j^2$  

•  $\frac{-9\pm i\sqrt{95}}{22}$  

•  $\frac{-9\pm\sqrt{95}}{22}$  

•  $\frac{9\pm i\sqrt{95}}{22}$  

•  $\frac{9\pm\sqrt{95}}{22}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which phrase correctly describes the roots of the following function?

f(x)=3x²+3x+3

• 2 Real Roots

• 2 Imaginary Roots

• 1 Real root

• 1 Imaginary Root

Tags

CCSS.HSA-REI.B.4B

What are the zeros of the function f(x) = x² + 64?

• -8 and 8

• -8i and 8i

• $i\sqrt{8},-i\sqrt{8}$

• $\sqrt{8},-\sqrt{8}$

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.3

• A
• B
• C
• D

Tags

CCSS.HSN.CN.C.9

Solve:

2x² + 6x + 7 = 0

• $\frac{-6+\sqrt{20}}{4},\frac{-6-\sqrt{20}}{4}$

• $\frac{-6+i\sqrt{20}}{4},\frac{-6-i\sqrt{20}}{4}$

• $\frac{-3+i\sqrt{5}}{2},\frac{-3-i\sqrt{5}}{2}$

• $\frac{-6+2i\sqrt{5}}{4},\frac{-6-2i\sqrt{5}}{4}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7