Question

if X + Y is equal to 7 upon 2 and X Y is equal to 5 upon 2 find X2 - Y2​

Answer 1

Given, X+Y = 7/2-------------(i)

and XY = 5/2 .

we have, (X+Y)² = X² + Y² + 2XY

=> (7/2)² = X²+Y²+5

=> X²+Y² = 49/4 - 5 = 29/4

And, (X-Y )² = X²+Y²-2XY

=> (X-Y)² = 29/4 - 5

=> X-Y = √(9/4)

=> X-Y = 3/2 or -3/2 -------------(ii)

Again, (X+Y)(X-Y) = X²-Y²

=> 7/2 × 3/2 = X²-Y² or 7/2 × -3/2 = X²-Y²

=> X²-Y² = 21/4 or X²-Y² = -21/4 .

Hope it's helpful to you .

Please mark as Brainlist answer.