Question

the relationship between the coefficients and the roots of a quadratic MELC CODE: G9Q1W2C LEARNING COMPETENCY: The learner is able to solve routine and non routine problems involving roots of a quadratic equation. NAME: SECTION: SCORE: Direction: What do you think is important in order to sustain life's journey? Solve each problem and write its corresponding letter above each correct answer. Units for the answers are stated in every problem. A. The longest side of a right triangle is 4 more than the shortest side. The middle side is 2 more than the shortest side. Find the lengths of the sides of the right triangle. R. A tennis court for four players has an area of 230 square meters. The perimeter of the court is 66 meters. Find the dimensions of the court. I. The product of two consecutive odd integers is 1 less than ten times their sum. Find the integers. T. Last year, Mario planted potatoes in a rectangular plot whose length was 4m more than its width. Encouraged by a plentiful harvest he increased the width of his plot by 3m and also increased the length to twice this width, thus having 83m² more in area. What are the dimensions of his plot now? P. Find two positive consecutive integers that are multiples of 5 and whose product is 300. E. The length of a rectangle is one meter longer than its width. Its diagonal is 29 meters. Find the dimensions of the rectangle. S. The length of a rectangle is 1 ½ meters more than its width. The area of the rectangle is known to be 27 square meters. Find the dimensions of the rectangle. Y. The sum of two numbers is 28 and their product is 96. Find the numbers. H. A rectangular table has an area of 27 ft² and a perimeter of 24 ft. What are the dimensions of the table? K. An amusement park wants to place a new rectangular billboard to inform visitors of their new attractions. Suppose the length of the billboard to be placed is 4m longer than its width and the area is 96m². What will be the length and the width of the billboard? 15,20 23,10 6,8,10 24,4 20,21 23,10 19,21 4½,6 8.16 3,9 20,21 8,12 20,21 4,24

the relationship between the coefficients and the roots of a quadratic
MELC CODE: G9Q1W2C
LEARNING COMPETENCY: The learner is able to solve routine and non routine problems involving roots of a quadratic equation.
NAME:
SECTION:
SCORE:
Direction: What do you think is important in order to sustain life's journey? Solve each problem and write its corresponding letter above each correct answer. Units for the answers are stated in every problem.
A. The longest side of a right triangle is 4 more than the shortest side. The middle side is 2 more than the shortest side. Find the lengths of the sides of the right triangle.
R. A tennis court for four players has an area of 230 square meters. The perimeter of the court is 66 meters. Find the dimensions of the court.
I. The product of two consecutive odd integers is 1 less than ten times their sum. Find the integers.
T. Last year, Mario planted potatoes in a rectangular plot whose length was 4m more than its width. Encouraged by a plentiful harvest he increased the width of his plot by 3m and also increased the length to twice this width, thus having 83m² more in area. What are the dimensions of his plot now?
P. Find two positive consecutive integers that are multiples of 5 and whose product is 300.
E. The length of a rectangle is one meter longer than its width. Its diagonal is 29 meters. Find the dimensions of the rectangle.
S. The length of a rectangle is 1 ½ meters more than its width. The area of the rectangle is known to be 27 square meters. Find the dimensions of the rectangle.
Y. The sum of two numbers is 28 and their product is 96. Find the numbers.
H. A rectangular table has an area of 27 ft² and a perimeter of 24 ft. What are the dimensions of the table?
K. An amusement park wants to place a new rectangular billboard to inform visitors of their new attractions. Suppose the length of the billboard to be placed is 4m longer than its width and the area is 96m². What will be the length and the width of the billboard?
15,20 23,10 6,8,10 24,4 20,21 23,10
19,21 4½,6
8.16 3,9 20,21
8,12 20,21 4,24

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