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

Question

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

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Alaia 3 months 2021-07-17T12:13:37+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-17T12:14:43+00:00

    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

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