if sum and product of two nos. are 8 and 15 respectively. Find the sum of their cubes
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x (8 - x) = 15
-x^2 + 8x = 15
-x^2 + 8x - 15 = 0
- (x^2 - 8x + 15) = 0
- (x - 3) (x - 5) = 0
x-3 = 0; x = 3
x - 5 = 0; x = 5
x + y = 8
3 + y = 8
y = 5
5 + y = 8
y = 3
x^3 + y^3
3^3 + 5^3
27 + 125
152
The x,y combination is either x = 3 and y = 5 or x = 5 and y = 3; regardless of the combination, the sum of their cubes is 154
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