Question

The number x is 2 more than the number y.If the square of x and y is 34;find the product of x and y.

Answer 1

Answer:

Step-by-step explanation:

given ,

    x = y + 2 ,

      x² + y² = 34 ,

    x - y = 2 ,

  squaring,

            (x - y)² = 2² ,

            x² + y² - 2 x y = 4 ,

            34 - 2 x y = 4 ,

              x y = 15,

So product of xy is 15.

Hope it helps.

Answer 2

By the given conditions,

x = y + 2

x-y = 2

(x+y)² = 34

x² + y² + 2xy = 34 --------(1)

(x-y)² = x² + y² - 2xy

2² = x² + y² - 2xy

x² + y² = 4 + 2xy ----------(2)

Substituting (2) in (1),

4 + 2xy +2xy = 34

4xy = 30

xy = 30/4 = 15/2

Hope this is helpful to you

Pls mark as brainliest

Follow me and I'll follow you back