Question

9.
If 2(x - y)2 = 116 and xy = 24, find the value of x2 + y2.







it's for my h.w please help me ​

Answer 1

If 2(x - y)2 = 116 and xy = 24, find the value of x2 + y2.

⭐Solution⭐

➡Given here

2(x-y)2 = 116

or,

(x-y)= 116/4

(x-y)= 29...(1)

and,

xy = 24...(2)

we know

(x-y)² = x²+y²-2xy

keep value

(29)² = x²+y²-2×24

=>x²+y² = 841-48

=>x²+y²= 793

✨Thats Answer✨