Solve the Quadratic Complex Solutions

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400 -:2 real, rational

• 0 :1 real, rational

• √(-400) -:2 non-real complex - imaginary

• -3 : 2 non-real , imaginary

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals -72, the quadratic has how many solutions?

• 2 real

• 2 complex

• 1 real

• 1 complex

• 0 real

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

• (2±2i√10)/2

• (4±√40)/4

• (2±i√10)√/2

• (2±2i√40)/4

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which is a solution to (½)x² + 8 = 0

• - 4i

• 16i

• - 16i

• 1

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

• -8 and 8

• -8i and 8i

• (-√8) i and (√8) i

• -√8  and √8

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

• Two real solutions that are different

• Two imaginary solutions that are different

• A real double solution

• An imaginary double solution

Tags

CCSS.HSA-REI.B.4B

How does the quadratic equation show that there should be two complex solutions?

• b²

• ±

• b² - 4ac

• 2a

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7