Question

x+y=10 x.y=24  x2+y2=52 achar x3+y3

Answer 1

x+y=10

eleva ambos lados ao cubo

(x+y)³=(10)³
x³ + 3x²y + 3xy² + y³=1000
x³ + y³ + 3x²y + 3xy² =1000
x³+y³+ 3xy(x+y) =1000

substituindo xy=24 e x+y=10

x³+y³ + 3.24(10)=1000
x³+y³ + 720=1000
x³+y³=280