Solving by Using the Quadratic Formula

Solving by Using the Quadratic Formula

By Carson Costa

Poll

Chocolate, Vanilla, or Strawberry?

• Chocolate

• Vanilla

• Strawberry

Axis of symmetry

Vertex

y-intercept

how many solutions are there?

what are the solutions?​

​

​Using the graph, identify the:​

Multiple Choice

Which of these is a solution to the graph?

• 0

• 1

• -1

• 2

• -2

Multiple Choice

Which of these is NOT another term for "solution" when we're talking about quadratics?

• y-intercept

• zero

• root

• x-intercept

The solutions of a quadratic equation, where a is not equal to zero, are given by the Quadratic Formula.

​

Plug in a, b, and c, and then solve. (Follow the​ Order of Operations!)​

Quadratic Formula

​x² - 12x = -20​

Multiple Choice

Solve using the quadratic formula :

x² - 7x + 12 = 0

• x = 3, -4

• x = -3, 4

• x = 3, 4

• x = -3, -4

Multiple Choice

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Multiple Choice

Solve     8x² - 6x + 1 = 0

• No Solution
• 0 or 1
• -0.5 or -0.25
• 0.25 or 0.5

Multiple Choice

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

• True
• False

Discriminant

The discriminant can be used to determine the number of solutions

​4x² - 5x = -3​

Multiple Choice

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

• Positive
• Negative
• Zero
• Not Sure

Multiple Choice

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

• 76

• -7

• 9

• none of these