Consecutive Odd Numbers and Equations

The video tutorial explains how to find two consecutive odd numbers whose product is 143. It begins by defining the first odd number as 'n' and the next as 'n + 2'. A quadratic equation is set up and solved by factoring, resulting in two possible values for 'n': 11 and -13. These values lead to two pairs of consecutive odd numbers: (11, 13) and (-13, -11). The tutorial concludes by confirming these pairs as the solution.

What is the product of the two consecutive odd numbers we are trying to find?

• 143

• 121

• 169

• 187

If the first odd number is represented by n, how do we express the next consecutive odd number?

• n + 2

• n + 1

• n + 4

• n + 3

What type of equation do we need to solve to find the odd numbers?

• Exponential equation

• Cubic equation

• Quadratic equation

• Linear equation

What is the factored form of the quadratic equation derived from the problem?

• (n - 11)(n - 13)

• (n - 11)(n + 13)

• (n + 11)(n + 13)

• (n - 13)(n + 11)

What are the possible values of n from the factored equation?

• -11 and -13

• 13 and -11

• 11 and -13

• 11 and 13

If n is 11, what is the next consecutive odd number?

• 11

• 9

• 15

• 13

If n is -13, what is the next consecutive odd number?

• -11

• -15

• -9

• -13

What is the sum of the two consecutive odd numbers when n is 11?

• 28

• 22

• 24

• 26

What is the sum of the two consecutive odd numbers when n is -13?

• -28

• -24

• -30

• -26

Which of the following is a correct pair of consecutive odd numbers from the solutions?

• -13 and -9

• 11 and 13

• 11 and 15

• -11 and -15