Question

If x-y=7 and x³-y³=133 find x²+y²

Answer 1

Answer:

Step-by-step explanation:

◀ HEY ▶

Your Solution ⬇⬇⬇

Given ,

=> X - Y = 7

=> X³ - Y³ =133

⬛ To Find

=> x² + y² = ????

Applying Formula ----

=> (X - Y)³ = X³ - Y³ - 3XY(X-Y)

=> (7)³ = 133 - 3XY(7)

=> 343 -133 = - 21X.Y

=> -210 = 21X.Y

=> X.Y = -10

NOW :-

=> (X - Y)² = X² + Y² -2X.Y

=> 49 = X² + Y² -(-20)

=> X² + Y² => 49 -20

=> X² + Y² = 29

⬛⬛⬛ THANK U ⬛⬛⬛

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