I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x +3x +8-0 2. d +7d -5-0 3. 6x - 5x +8=0 4. 2z2 + 72-3 0 5. 10m - 8m +3-0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 22E
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Question
6:35 - O
O F 32%
Lanilyn
GRADE 9
Learning Module for Junior High School Mathematicn
WHAT I CAN DO
1. Without solving, find the sum and product of the roots of each of the following
equations.
1. 4x + 3x +8-0
2. d? + 7d -5=0
3. 6x - 5x +8 =0
4. 2z2 + 72 -3 =0
5. 10m2-8m +3 =0
II.Find the quadratic equations whose root are:
1. .3
2. 7,-3
3. -4,7
4. 12
2'3
5. 11 5
22
III. If randtare the roots of the equation 7x - gx = n, what is r+t?
ASSESSMENT
Write the letter of the correct answer on your answer sheet. If your answer is not
among the choices, write E together with your final answer.
1. Given the quadratic equation ax + bx = -c where a, b,c are real numbers and a
0, which of the following is the product of its roots?
A. a
В. с
C. -
D.
2. In the quadratic equation ar + bx = -c, which of the following is the sum of its
roots?
A. E
С. с
D. a
B.
3. What is the sum of the roots of the quadratic equation 8x + 5x -14 0?
C. 5
D. 14
A.
В. -
14
4. In the quadratic equation 8x + 5x - 14 = 0, which of the following is the product
of its roots?
A. -5
B. --
C. 5
D.
7.
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Edit
:
Transcribed Image Text:6:35 - O O F 32% Lanilyn GRADE 9 Learning Module for Junior High School Mathematicn WHAT I CAN DO 1. Without solving, find the sum and product of the roots of each of the following equations. 1. 4x + 3x +8-0 2. d? + 7d -5=0 3. 6x - 5x +8 =0 4. 2z2 + 72 -3 =0 5. 10m2-8m +3 =0 II.Find the quadratic equations whose root are: 1. .3 2. 7,-3 3. -4,7 4. 12 2'3 5. 11 5 22 III. If randtare the roots of the equation 7x - gx = n, what is r+t? ASSESSMENT Write the letter of the correct answer on your answer sheet. If your answer is not among the choices, write E together with your final answer. 1. Given the quadratic equation ax + bx = -c where a, b,c are real numbers and a 0, which of the following is the product of its roots? A. a В. с C. - D. 2. In the quadratic equation ar + bx = -c, which of the following is the sum of its roots? A. E С. с D. a B. 3. What is the sum of the roots of the quadratic equation 8x + 5x -14 0? C. 5 D. 14 A. В. - 14 4. In the quadratic equation 8x + 5x - 14 = 0, which of the following is the product of its roots? A. -5 B. -- C. 5 D. 7. More Edit :
6:35 O
O ll 32%
Lanilyn
...
More
GRADE 9
Learning Module for Junior High School Mfathematics
Collaboration, Critical Thinking
WHAT'S MORE
L Find the sum and product of the roots of cach equation placed inside the rectangle:
4+ ár +30
2x +11x-15
2- Sr+1
SUM:
PRODUCT:
sUM
PRODUCT
PRODUCT:
IL Find the quadratie emastion whose mots ore given below. You mey discuss vour
idea to your housemate.
QUADRATIC
EQUATION:
QUADRATIC
EQUATION:
QUADRATIC
EQUATION:
m lEand pare the roots of the equation Sa-mx n, what is s+ n?
WHAT I HAVE LEARNED
Olvrn the quodratic equation of the form ax' +bx +c=0, where a.b.c pre real
numbers and er0 the
and its coeficients.
Ini The sum of the roots is the additive inverse of the quotient of h
following are the relations regarding its roots xand x
coeficients b and a denoted by:
(b The product of the roots is the quotient of the coellicients c and a denoted
by:
Transcribed Image Text:6:35 O O ll 32% Lanilyn ... More GRADE 9 Learning Module for Junior High School Mfathematics Collaboration, Critical Thinking WHAT'S MORE L Find the sum and product of the roots of cach equation placed inside the rectangle: 4+ ár +30 2x +11x-15 2- Sr+1 SUM: PRODUCT: sUM PRODUCT PRODUCT: IL Find the quadratie emastion whose mots ore given below. You mey discuss vour idea to your housemate. QUADRATIC EQUATION: QUADRATIC EQUATION: QUADRATIC EQUATION: m lEand pare the roots of the equation Sa-mx n, what is s+ n? WHAT I HAVE LEARNED Olvrn the quodratic equation of the form ax' +bx +c=0, where a.b.c pre real numbers and er0 the and its coeficients. Ini The sum of the roots is the additive inverse of the quotient of h following are the relations regarding its roots xand x coeficients b and a denoted by: (b The product of the roots is the quotient of the coellicients c and a denoted by:
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