Solving Quadratics with Complex Solutions

Find the roots of the equation.

• $\left\{\frac{3+3i\sqrt{7}}{-4},\frac{3-3i\sqrt{7}}{-4}\right\}$

• $\left\{-3i\sqrt{7},3i\sqrt{7}\right\}$

• $\left\{-63,63\right\}$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.9

Find the roots of the following quadratics:

 $2x^2+6x=11$  

•  $\left\{\frac{11}{2},8\right\}$  

•  $\left\{-2\sqrt{31},\ -\sqrt{31}\right\}$  

•  $\left\{\frac{-3+\sqrt{31}}{2},\ \frac{-3-\sqrt{31}}{2}\right\}$  

• No Solutions

Tags

CCSS.HSA.REI.B.4

Find all roots for the following quadratic:

 $-3x^2-8$  

•  $\left\{\frac{3\sqrt{6}}{2}\right\}$  

•  $\left\{\frac{2i\sqrt{6}}{-3},\ \frac{2i\sqrt{6}}{3}\right\}$  

•  $\left\{-6,6\right\}$  

• No Solutions

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.9

Solve -2x² + 4x = 9

• (-4 - i√56)/-4 , (-4 + i√56)/-4

• (2 - i√-56)/2 , (2 + i√-56)/2

• (2 - i√-14)/2 , (2 + i√-14)/2

• (2 - √14)/2 , (2 + √14)/2

Which is a solution to x² - 4x + 5 = 0

• 2 + i
• 2i
• 2 - 2i
• -2 - i

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.9

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

2x² – 6x + 5 = 0 

• x=3/2±i/2
• x=3 ± i/2
• x=3/2 ± i
• x=3±i

Tags

CCSS.HSA.REI.B.4

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA.REI.B.4

Solve for x: 

• x = {-4, -1}
• x = {-1, -4}
• x = {2+i, 2-i}
• x = {-2+i, -2-i}

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.7

Solve for x:

• x = {-3+2i, -3-2i}
• x = {7, 6}
• x = 2±i√3
• No solution

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1