Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

There are two consecutive odd integers. The
square of the smaller one is one hundred
fifty-four more than the larger one. What
are the two integers?

Sagot :

sqdancefan

Answer:

  13, 15

Step-by-step explanation:

Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...

  x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger

  x² -x = 156 . . . . . . . . . . subtract x

  x² -x +1/4 = 156.25 . . . complete the square

  (x -1/2) = √156.25 = 12.5 . . . . take the square root

  x = 13 . . . . . add 1/2

The two integers are 13 and 15.

__

Check

  13² -15 = 169 -15 = 154 . . . as required

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.