The Quadratic Formula and The Discriminant

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

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____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

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____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

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

x² + 7x + 13

Remember: b² - 4ac

• 400, 2 real roots

• 0, 1 real repeated root

• -400, 2 imaginary roots

• -3, 2 imaginary roots

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What is this formula?

• The vertex formula.

• The quadratic formula.

• The discriminant formula.

• The slope formula.

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Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

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What is the discriminant of this equation?

3x² + 8x = 0

• 64

• 52

• 9

• 0

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The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. How long will it take for the balloon explode on the ground? Use the quadratic formula to find the positive solution to the equation.

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

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This method will successfully solve any quadratic equation

• Factoring

• Taking Square Roots

• The Quadratic Formula

• The Discriminant

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