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27-10-2020
Mathematics

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If x + y = 12 and xy = 27, find the value of x^3+y^3

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deaserenity deaserenity

27-10-2020

x+y=12
y=12-x ........ ①
xy=27 .........②

x(12-x)=27
-x^2+12x-27=0
(x-3)(x-9)=0

Where x = 3 , x=9

Substitute x=3 and x=9 in ①
y=12-3
y=9

y=12-9
y=3

x^3+y^3=?

3^3+9^3=756 Or 9^3+3^3=756

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