Question

if X square + y square equals to 202 x y equals to 99 find the values of X+y and x-y​

Answer 1

Step-by-step explanation:

x² + y² = 202 ........eqn. 1

xy = 99 ........eqn.2

NOW , (x+y)² = x² + y² + 2 xy ( identity)

= (x+y)² = 202 + 2× 99 ( from eqn. 1 and 2)

= (x+y)² = 202 + 198

x+y = √400

x+y = +20 or -20

similarly , x-y = +2 or -2

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