Question

x-y=5, xy=24 then find x³+y³​

Answer 1

Answer:

given thing

x-y=5 ---(1)

x-y=24---(2)

x-y=5

x=5+y----(3)

substitute equation (3) in equation (2)

$xy = 24$

$(5 + y)(y) = 24$

$5y + y {}^{2} { = 24}^{}$

$y { }^{2} + 5y - 24 = 0$

$y {}^{2} + 8y - 3y - 24 = 0$

$y(y + 8) - 3(y + 8) = 0$

$(y + 8)(y - 3) = 0$

$y = - 8 \ \\ y = 3$