Solving Quadratics with Complex Solutions

If b²-4ac is 0, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B

Solve for x: 

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

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the discriminant of the quadratic formula?

• b²-4a
• b²-4ac
• b-4ac
• b²-ac

Tags

CCSS.HSA-REI.B.4B

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2
• (2 - i√-56)/2   ,   (2 + i√-56)/2
• (2 - i√-14)/2   ,   (2 + i√-14)/2
• (2 - √14)/2   ,   (2 + √14)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

If b²-4ac is negative, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B

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

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

How many solutions does this equation have?

• 2 Real Solutions

• 1 Real Solution

• 2 Complex Solutions

Tags

CCSS.HSA-REI.B.4B

If b²-4ac is positive, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B