Question

x+y=84, x^2-y^2= 1674 find x-y​

Answer 1

since, ( x+y )² = x² + y² + 2xy

and , x+y = -14 and xy = 84

now putting the values in the equation

( -14 )² = x² + y² + 2(84)

196 = x² + y² + 168

x² + y² = 196-168

x² + y² = 28

Answer 2

Answer:

The value of x-y is 19.92

Step-by-step explanation:

We can find the value of x-y using the following formula,

$x^{2} - y^{2} = (x+y)(x-y)$

As given the question above we can see that,

$x^{2} -y^{2} = 1674$

And also it has been given that the value of the (x+y) = 84

Therefore using the above-given two, we have,

$x^{2} - y^{2} = (x+y)(x-y)$

⇒ 1674 = 84 (x-y)

⇒ (x-y) = 1674 ÷ 84

⇒ (x-y) = 19.92

Therefore we have found that the value of x - y = 19.92.