Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

If (x - y)= 74 and 2x² + 2y² = 36, find the value of 5xy.​

Sagot :

Answer:

5xy = - 13645

Step-by-step explanation:

Note that

(x - y)² = x² + y² - 2xy

Given

2x² + 2y² = 36 ( divide through by 2 )

x² + y² = 18

Then

(x- y)² = 74² = 5746 ← expand left side

x² + y² - 2xy = 5746 ← substitute x² + y² = 18

18 - 2xy = 5746 ( subtract 18 from both sides )

- 2xy = 5458 ( divide both sides by - 2 )

xy = - 2729

Thus

5xy = 5 × - 2729 = - 13645

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.