ACTIVITY 11: Solving word problems that involves Quadratic Equation
Complete the information below and solve each problem.
Question: The product of two consecutive odd integers is 99. find the two integers.
Step 1: read and understand the problem. find what is being asked. Must find: (1) _________
Step 2: choose a variable to represent an unknown quantity. define other unknowns in terms of the variable.
•Let x = (2) __________
•x + _ = (3) __________
Step 3: translate the problem into an equation.
•the problem states that the product of the two consecutive odd integers is 99. (4) ____________
Step 4: solve the equation. simplify the left side. write the equation in standard form. choose your method of solving quadric equation.
(5) _________________ <-------Answer
Step 5: interpret the results. be sure your answer make sense in the context of the problem: check the proposed solution in the stated problem and state your conclusion.
Interpret: can be a positive or negative number.
Check:
the first integer is x =(6) ___, and the second integer is (7) ___ = (8) ___ = (9) ___
State: The number is (10) _____
EVERYTHING WITH AN UNDERLINE IS SOMETHING A QUESTION TO BE ANSWERED! THANK U
PLEASE DONT ANSWER IF YOU DONT KNOW, I SPENT A LONG TIME TYPING THIS OUT <3
Complete the information below and solve each problem.
Question: The product of two consecutive odd integers is 99. find the two integers.
Step 1: read and understand the problem. find what is being asked. Must find: (1) _________
Step 2: choose a variable to represent an unknown quantity. define other unknowns in terms of the variable.
•Let x = (2) __________
•x + _ = (3) __________
Step 3: translate the problem into an equation.
•the problem states that the product of the two consecutive odd integers is 99. (4) ____________
Step 4: solve the equation. simplify the left side. write the equation in standard form. choose your method of solving quadric equation.
(5) _________________ <-------Answer
Step 5: interpret the results. be sure your answer make sense in the context of the problem: check the proposed solution in the stated problem and state your conclusion.
Interpret: can be a positive or negative number.
Check:
the first integer is x =(6) ___, and the second integer is (7) ___ = (8) ___ = (9) ___
State: The number is (10) _____
EVERYTHING WITH AN UNDERLINE IS SOMETHING A QUESTION TO BE ANSWERED! THANK U
PLEASE DONT ANSWER IF YOU DONT KNOW, I SPENT A LONG TIME TYPING THIS OUT <3
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Answer:
Step 1: read and understand the problem. find what is being asked.
(1) Must find: The two consecutive odd integers
Step 2: choose a variable to represent an unknown quantity. define other unknowns in terms of the variable.
•Let x = (2) the first odd integer
•x + 2 = (3) the second odd integer
Step 3: translate the problem into an equation.
• the problem states that the product of the two consecutive odd integers is 99.
(4) x ( x+2) = 99
Step 4: solve the equation. simplify the left side. write the equation in standard form. choose your method of solving quadric equation.
(5) x(x+2) = 99
x² + 2x = 99
x² + 2x - 99 = 0
Using quadratic formula:
x² + 2x - 99 = 0
x = ( -2 ± √( 2² - 4(1)(-99))) / 2(1)
x = ( -2 ± √( 4 + 396)) / 2
x = ( -2 ± √400) /2
x = ( -2 ± 20)/2
x = ( -2 + 20)/2
x = 18/2
x = 9
x = ( - 2 - 20)/2
x = -22/2
x = - 11
Step 5: interpret the results. be sure your answer make sense in the context of the problem: check the proposed solution in the stated problem and state your conclusion.
Interpret: can be a positive or negative number.
Check:
the first integer is (6) x = 9 ,
and the second integer is (7) 11 = (8) 9 • 11 = (9) 99
State: The numbers are (10) 9, 11 .