5.5 Quadratics with Complex Solutions

When you are solving for the roots/zeros of a quadratic function, which equation could you use?

• $D=b^2-4ac$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Solve By Factoring: 

 $x^2-4x-5=0$  

• 5, -1

• 1, -5

• -5, -1

• 1, 5

Tags

CCSS.HSA-REI.B.4B

Solve By Factoring:

 $m^2-2m=0$  

• 2

• 0, -2 

• 2, 0

• -2

Tags

CCSS.HSA-REI.B.4B

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.B.4B

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.4B

CCSS.HSN.CN.C.7

Put 2x² = 3x - 4 in standard form

• 2x² + 3x - 4 = 0
• 2x² - 3x + 4 = 0
• 2x² - 3x - 4 = 0
• 2x² + 3x + 4 = 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is a, b, and c in 3x² + 4 = 5x?

• a = 3, b = -5, c = 4
• a = 3, b = 5, c = 4
• a = 3, b = 5, c = -4
• a = 3, b = -5, c = -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

Identify the zeros of the graph

• (0, -3)
• (-1, 0) and (3, 0)
• (1, -4)
• None of the above

Tags

CCSS.HSF-IF.C.7A

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2
• (5 - √15)/2  ,  (5 + √15)/2
• (5 - i√65)/2  ,  (5 + i√65)/2
• (5 - √65)/2  ,  (5 + √65)/2