Răspuns:
x = 8
y = 4
z = 10
Explicație pas cu pas:
(x, y, z) dp (4, 2, 5)
x * y * z = 320
[tex]\frac{x}{4} = \frac{y}{2} = \frac{z}{5} = k\\\frac{x}{4} = k -> x = 4k\\\frac{y}{2} = k -> y = 2k\\\frac{z}{5} = k -> z = 5k\\4k * 2k * 5k = 320\\40k^{3} = 320\\k^{3} = 320 : 40\\k^{3} = 8\\k^{3} = 2^{3} \\k = 2\\x = 4 * 2 = 8\\y = 2 * 2 = 4\\z = 5 * 2 = 10[/tex]
