Question

Jika : x^2 + y^2 = 29 dan x + y = 3
Hitunglah : x^3 + y^3

Answer 1

X^2 + y^2 = 29 dan x + y = 3x = -2
y = 5

x^2 = -2 ^ -2 = 4
y^2 = 5 ^ 2 = 25

x^2 + y^2 = (-2 x -2 ) + (5x5) = 4 + 25 = 29 dan -2 + 5 = 3
x^3 + y^3 =  (-2.-2.-2) + (5.5.5) = -8 + 125 = 117

maaf klo salah. klo bener jadikan jawaban terbaik

Answer 2

(x + y)² - 2xy = 29
(3)² - 2xy = 29
9 - 2xy = 29
-2xy = 20
xy = -10

x³ + y³ = (x + y)³ - 3xy(x + y)
= (3)³ - 3.(-10)(3)
= 27 + 90 = 117