Question

if the sum and product of two numbers are 8 and 15 respectively , find the sum of cubes​

Answer 1

Let the two numbers be x and y

x + y = 8 ; xy = 15

x = 8 - y

(8 - y)y = 15

y^2 8y + 15 = 0

y^2 - 3y - 5y + 15 = 0

y(y - 3) - 5 (y - 3 ) =0

y - 3 = 0 ; y - 5 = 0

y = 3 ; y = 5

x = 8 - y

x = 8 - 5 = 3

x = 8 - 3 = 5

THEREFORE x = 3 (or) 5 ; y = 3 (or) 5

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