Question

the number x is 2 more than the number y. If the sum of the squares of s and y is 34, find the product of x and y​

Answer 1

Answer:

15

Step-by-step explanation:

As given, x = y + 2   & x² + y² = 34

    Case 1 :

⇒ x = y + 2

⇒ x - y = 2

            Square on both sides:

⇒ (x - y)² = 2²

⇒ x² + y² - 2xy = 4

⇒ 34 - 2xy = 4

⇒ 34 - 4 = 2xy

⇒ 30/2 = xy

⇒ 15 = xy = product of x and y

Answer 2

Answer:

✨✨PRODUCT OF X AND Y IS 15 ✨✨

Step-by-step explanation:

x-2=y

x²+y²=34

x-y = 2

(x-y)²=(2)²

x²+y²-2xy = 4

34-2xy = 4

-2xy = 4-34

xy = -30/-2

xy = 15

Therefore; x × y = 15 ✔️✔️