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Lesson 4 sum and product of qe
- 18. 1. 𝑥2
+ 3𝑥 + 2 = 0
2. 𝑠2
− 5𝑠 + 6 = 0
3. 𝑟2
+ 2𝑟 − 8 = 0
4. 𝑡2
+ 12𝑡 + 36 = 0
5. 4𝑥2
+ 16𝑥 + 15 = 0
- 20. 1. 15ℎ2
− 7ℎ − 2 = 0
2. 12𝑠2
− 5𝑠 − 3 = 0
3. 6𝑡2
− 7𝑡 − 3 = 0
4. 3𝑚2
− 8𝑚 − 4 = 0
5. 2𝑤2
− 3𝑤 − 20 = 0
- 22. Work by My Group
Directions: Use the
quadratic equations
below to answer the
questions that follow.
- 24. 1. What are the values of
a, b and c in each
equation?
𝑏. 2𝑥2
− 3𝑥 − 20 = 0
𝑎. 𝑥2
+ 7𝑥 + 12 = 0
- 25. 2. Determine the roots of each
quadratic equation using any
method.
𝑏. 2𝑥2 − 3𝑥 − 20 = 0
𝑎. 𝑥2
+ 7𝑥 + 12 = 0
𝑥1 = _____, 𝑥2=_____
𝑥1 = _____, 𝑥2=_____
- 26. 3. Complete the Following table:
Quadratic Equation Sum of
Roots
Product
of Roots
𝑥2
+ 7𝑥 + 12 = 0
2𝑥2
− 3𝑥 − 20 = 0
- 27. 4. What do you observe
about the sum and the
product of the roots of
quadratic equation in
relation to the values of a, b
and c
- 28. The sum of the roots of
quadratic equation is
equal to
−𝑏
𝑎
and the
product is equal to
𝑐
𝑎
- 30. 1. Do you think a
quadratic equation can
be determined given
its roots or solution?
Justify your answer
- 31. 2. Do you think a
quadratic equation can be
determined given the sum
and product of its roots?
Justify your answer
- 34. 1. 𝑥2
− 18𝑥 + 80 = 0
2. 𝑥2
− 9𝑥 + 18 = 0
3. 𝑥2
+ 18 + 80 = 0
4. 𝑥2
− 12𝑥 − 45 = 0
5. 𝑥2
− 𝑥 − 90 = 0
- 40. 2. What is the
standard form of
quadratic
equations?
- 41. 3.How did you find the
sum and the difference
of rational algebraic
expressions?
- 42. 4. How did you
simplify the
resulting
expressions?