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Section 4.7 – The Quadratic Formula
Students will be able to:
• To solve equations using the Quadratic Formula
•To determine the number of solutions by using the discriminant
Lesson Vocabulary:
Quadratic Formula
Discriminant
Section 4.7 – The Quadratic Formula
Essential Understanding:
You can solve a quadratic equation
ax2 +bx + c = 0 is completing the square and factoring.
Section 4.7 – The Quadratic Formula
Section 4.7 – The Quadratic Formula
Problem 1:
What are the solutions?
Use the Quadratic Formula.
2x2 – x = 4
Section 4.7 – The Quadratic Formula
Problem 1b:
What are the solutions?
Use the Quadratic Formula.
x2 + 6x +9 = 0
Section 4.7 – The Quadratic Formula
Problem 1c:
What are the solutions?
Use the Quadratic Formula.
x2 + 4x = -4
Section 4.7 – The Quadratic Formula
Problem 1d:
What are the solutions?
Use the Quadratic Formula.
x2 + 4x - 3 =0
Section 4.7 – The Quadratic Formula
Problem 2:
Section 4.7 – The Quadratic Formula
Section 4.7 – The Quadratic Formula
Section 4.7 – The Quadratic Formula
Problem 3:
What is the number of real solutions of
-2x2 – 3x + 5 = 0?
Section 4.7 – The Quadratic Formula
Problem 3b:
What is the number of real solutions of
2x2 – 3x + 5 = 0?
Section 4.7 – The Quadratic Formula
Problem 3c:
What is the number of real solutions of
x2 = 6x +5?
Section 4.7 – The Quadratic Formula
Problem 3d:
Without graphing, determine how many
x-intercepts each function has
y = 3x2 -10x + 6?
Section 4.7 – The Quadratic Formula
Problem 3e:
Without graphing, determine how many
x-intercepts each function has
y = x2 +17x – 2 ?
Section 4.7 – The Quadratic Formula
Problem 4:
Section 4.7 – The Quadratic Formula
Problem 4b:
Section 4.7 – The Quadratic Formula
Problem 4c:
Section 4.7 – The Quadratic Formula
Problem 5:
Solve:
|5 – 2x2| = 5
Section 4.7 – The Quadratic Formula
Problem 5b:
Solve:
| x2 +4x +3| = 8
Section 4.7 – The Quadratic Formula
Lesson Check:
Section 4.7 – The Quadratic Formula
Lesson Check:
