Найдите целые решения уравнений: 1)х^4 - 16,25х^2 - вопрос №6857661141625240241362 от Torior 15.04.2021 06:58

Question

Алгебра: Найдите целые решения уравнений: 1)х^4 - 16,25х^2 + 4 = 0 2)х^4 - 1,36х^2 + 0.36 = 0 3)х^4 -25,16х^2 +4 = 0 4)х^4 - 4,36х^2 + 1,44 =0

Torior · Answer

1) D = 264,0625 - 16 = 248,0625 = (15,75)²

x² = (16,25 + 15,57)/2 = 32/2 = 16
x1 = -4
x2 = 4

2) D = 1,8496 - 1,44 = 0,4096 = (0,64)²

x² = (1,36 + 0,64)/2 = 1
x1 = -1
x2 = 1

3) D = 633,0256 - 16 = 617,0256 = (24,84)²

x² = (25,16 + 24,84)/2 = 50/2 = 25
x1 = -5
x2 = 5

4) D = 19,0096 - 5,76 = 13,2496 = (3,64)²

x² = (4,36 + 3,64)/2 = 8/2 = 4
x1 = -2
x2 = 2