Quadratic Formula Introduction

Which is the graph of a quadratic equation that has a positive discriminant?

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What is the value of the discriminant, b² − 4ac, for the quadratic equation 0 = x² − 4x + 5, and what does it mean about the number of real solutions the equation has?

• The discriminant is −4, so the equation has 2 real solutions.

• The discriminant is −4, so the equation has no real solutions.

• The discriminant is 35, so the equation has 2 real solutions.

• The discriminant is 35, so the equation has no real solutions.

The quadratic formula can be used to solve quadratic equations that cannot be factored.

• True

• False

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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2x²-x -3=0

• x=-3/2  x=1

• x= 3/2 x= -1

• x= -3/2 x= -1

• x= 3/2 x= 1

Solve Using the Quadratic Formula 
2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

What is the equation for the axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3