Quadratic Formula Discriminant and Complex Numbers

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Simplify the following radical:

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Solve the following quadratic equation.

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The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

What is the discriminant of 2x² − x − 1 = 0 ?

• 7

• -7

• 9

• -9

If the discriminant is POSITIVE, the equation will have...

• 2 real solutions

• 1 real solution

• No real solutions

The formula to determine how many solutions a quadratic equation has is called the discriminant, which is...

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

find the discriminant of the given equation x²- 6x +9 = 0.

Aria, Elijah, and Daniel are trying to launch a homemade rocket. The height of the rocket, in meters, can be modeled by the quadratic equation -3x² - 5x + 15 = 7. What is the discriminant of this equation and how many solutions would it have?

• 205, 2 Solutions

• -71, No Solutions

• 121, 2 Solutions

• 121, 1 Solution

What is the discriminant in the Quadratic Formula?

• -b + 4ac

• b - 4ac

• -b² - 4ac

• b² - 4ac