scu0m
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

find two consecutive odd integers whose product is 99.​

Sagot :

Given:

Product of two consecutive odd integers is 99.

To find:

The two consecutive odd integers.

Solution:

Let the two consecutive odd integers are x and (x+2).

Product of two consecutive odd integers is 99.

[tex]x(x+2)=99[/tex]

[tex]x^2+2x-99=0[/tex]

Splitting the middle term, we get

[tex]x^2+11x-9x-99=0[/tex]

[tex]x(x+11)-9(x+11)=0[/tex]

[tex](x+11)(x-9)=0[/tex]

[tex]x=-11,9[/tex]

If x=-11, then second odd integer is

[tex]-11+2=-9[/tex]

If x=9, then second odd integer is

[tex]9+2=11[/tex]

Therefore, the two consecutive odd integers are either -11, -9 or 9, 11.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.