30. If x + y = 6 and xy = 11, find the value of x^3+y^3
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Answer:
Step-by-step explanation:
Given the equation
x+y=5 and xy=6
Find out the value of (x³-y³) is
To proof
As given the equation
put this in the x+y=5 equation
we get
thus
(x -2) (x -3) =0
x=2,x=3
When x=2
put in x+y=5
y = 3
(x³-y³) = 8 - 27
= -19
when
x=3
put in x+y=5
(x³ -y³) = 27-8
= 19
Hence proved
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