Solving Quadratic Equations with Real and Imaginary Numbers

When graphed, do imaginary solutions to equations cross the x-axis?

• Yes, imaginary solutions cross the x-axis

• No, imaginary solutions do not cross the x-axis

Tags

CCSS.HSN.CN.A.1

Solve: x^2 - 9 = 3x^2 + 41

• x = 5i

• x = -5i

• x = 5

• x = -5

• x = 25

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

When a quadratic equation has a discriminant that is NEGATIVE, what type of solution does it have?

• two imaginary solutions

• two real solutions

• one real solution, one imaginary solution

• no solution

• one real solution

Tags

CCSS.HSA-REI.B.4B

When a quadratic equation has a discriminant that is POSITIVE, what type of solution does it have?

• two imaginary solutions

• two real solutions

• one real solution, one imaginary solution

• no solution

• one real solution

Tags

CCSS.HSA-REI.B.4B

When a quadratic equation has a discriminant that is ZERO, what type of solution does it have?

• two imaginary solutions

• two real solutions

• one real solution, one imaginary solution

• no solution

• one real solution

Tags

CCSS.HSA-REI.B.4B

Determine the discriminant: 9x^2 + 6x + 6 = 5

Tags

CCSS.HSA-REI.B.4B

Determine the discriminant: -9x^2 = -8x + 8

Tags

CCSS.HSA-REI.B.4B

How many solutions does this quadratic have? 5x^2 + x - 2 = 0

• Two real solutions

• One real solution

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve by using the quadratic formula. The answer will be a decimal value. Submit only the negative answer and round to the nearest tenth. 4x^2 + 4x - 8 = 1

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Tags

CCSS.HSA-REI.B.4B