Question

find the value of x2 +y2if (x+y)=11 and xy=19​

Answer 1

Answer:

find the value of x2 +y2if (x+y)=11 and xy=19

Step-by-step explanation:

Given, x−y=13 and xy=28

We know that, (x−y)2=x2+y2−2xy   ... (i)

By putting the given values in equation (i),

(13)2=x2+y2—2(28)

169=x2+y2−56

169+56=x2+y2

225=x2+y2

So, the value of x2+y2 is 225.