Question

If x + y = 5 and x²+ y² = 13, then x^6- y^6
equal ? assume x>y​

Answer 1

Step-by-step explanation:

x−y=1 and x+y=5.x−y=1 and x+y=5.

(x+y)2=x2+y2+2xy⟹13+(2×6)(x+y)2=x2+y2+2xy⟹13+(2×6)

⟹(x+y)2=25⟹(x+y)2=25

⟹x+y=5⟹x+y=5

(x−y)2=x2+y2−2xy⟹13−(2×6)(x−y)2=x2+y2−2xy⟹13−(2×6)

⟹(x−y)2=1⟹(x−y)2=1

⟹x−y=1⟹x−y=1