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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. 22 + 72 -3-0 5. 10m? - 8m +3 -0

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. 22 + 72 -3-0 5. 10m? - 8m +3 -0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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6:35 - O 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' 2. 7,-3 3. -4,7 4. 12 2'3 5. 15 2'2 III. If rand t are 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? С. с D. a A. E 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 В. - C. 5 D.? 7. ... More Edit
Transcribed Image Text:6:35 - O 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' 2. 7,-3 3. -4,7 4. 12 2'3 5. 15 2'2 III. If rand t are 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? С. с D. a A. E 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 В. - C. 5 D.? 7. ... More Edit
Learning Module for Juntor High School Ma S What are the solutions of the equation: 3(x + 3) + 5(x + 3) –2-07 A -5 B.-5 D.--5 6. Which of the following are the solutions of the 4 degree equation x+ 13x+ 36-07 A. 21,-24, 31,-34 B. 2i, 31,2,3 C. -21, 31,-2,3 D. 21, -3i,2,-3 7. Which of the following rational algebraic equations is transformable to a quadratic equation? A. C. += B. -5 D. + 2-2 42 8. What are the solutions of the equation (y - 5y + 2) + 6(y - 5y + 2) +8 = 0? A. 1, 2, 3, 4 B. -1,-2,-3,-4 C. 3, 4, 5, 6 D. -3,-4,-5,-6 9. What are the solutions of x-9x + 8 = 0? A. 1,1,1,22,2 B. 1,,2,(-1t3) C. 1., 2. (1 ± iv3) D. -1,-1,-1,2, 2,2 10.The algebraic rational equation 1+ is reducible into quadratic form. Which of the following are the solutions of this equation? A. 3,6 В.-3,-6 C. -3, 6 D. 3,-6 WHAT'S IN LET'S RECALL Using any method of finding the zeroes of quadratic equation, solve for the following 1. x-9 0 2. x- Sx + 6 = 0 3. 6x + 7x-15 0 4. 2x +3x-5 0 5. 3x +7x+4 0 The last given equation is x-12x + 11 0. Obviously, it is not a second-degree equation and that is their problem Since it is not a quadratic equation, how will they find the solution? What are the values of x? Transform the following cquations into quadratic form and solve for the unknown Variable. 1- 2x -4 2x-1 (x2 + 1) + 3(x² + 1) – 10 = 0 y-15y = 16 Quadratic form: Solutions: Quadratic form: Solutions: Quadratic form: Solutions: 1.-1 2. -4 3. (+2) + (rt + 2) – 6 = 0 4. x*-5xt +4-0 S. x-3x +2 -0
Transcribed Image Text:Learning Module for Juntor High School Ma S What are the solutions of the equation: 3(x + 3) + 5(x + 3) –2-07 A -5 B.-5 D.--5 6. Which of the following are the solutions of the 4 degree equation x+ 13x+ 36-07 A. 21,-24, 31,-34 B. 2i, 31,2,3 C. -21, 31,-2,3 D. 21, -3i,2,-3 7. Which of the following rational algebraic equations is transformable to a quadratic equation? A. C. += B. -5 D. + 2-2 42 8. What are the solutions of the equation (y - 5y + 2) + 6(y - 5y + 2) +8 = 0? A. 1, 2, 3, 4 B. -1,-2,-3,-4 C. 3, 4, 5, 6 D. -3,-4,-5,-6 9. What are the solutions of x-9x + 8 = 0? A. 1,1,1,22,2 B. 1,,2,(-1t3) C. 1., 2. (1 ± iv3) D. -1,-1,-1,2, 2,2 10.The algebraic rational equation 1+ is reducible into quadratic form. Which of the following are the solutions of this equation? A. 3,6 В.-3,-6 C. -3, 6 D. 3,-6 WHAT'S IN LET'S RECALL Using any method of finding the zeroes of quadratic equation, solve for the following 1. x-9 0 2. x- Sx + 6 = 0 3. 6x + 7x-15 0 4. 2x +3x-5 0 5. 3x +7x+4 0 The last given equation is x-12x + 11 0. Obviously, it is not a second-degree equation and that is their problem Since it is not a quadratic equation, how will they find the solution? What are the values of x? Transform the following cquations into quadratic form and solve for the unknown Variable. 1- 2x -4 2x-1 (x2 + 1) + 3(x² + 1) – 10 = 0 y-15y = 16 Quadratic form: Solutions: Quadratic form: Solutions: Quadratic form: Solutions: 1.-1 2. -4 3. (+2) + (rt + 2) – 6 = 0 4. x*-5xt +4-0 S. x-3x +2 -0
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