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

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

• x = 5i

• x = -5i

• x = 5

• x = -5

• x = 25

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

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

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

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

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

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

• Two real solutions

• One real solution

• No real solutions

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

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.