ա) x3 + 5x2 + 6x = 0
x(x2 + 5x + 6) = 0 = > [x = 0
[x2 + 5x + 6 = 0
x2 + 5x + 6 = 0
D = b2 — 4ac = 25 — 4 * 1 * 6 = 1
[x1 = -b — √D/2a = — 5 — 1/2 = -3
[x2 = -b + √D/2a = -5 + 1/2 = -2
(1) => [x = 0
[x = -3
[x = -2
Պատ․՝ 0; -3; -2
բ) x3 — 4x2 + 3x = 0
x(x2 — 4x + 3) = 0 = > [x = 0
[x2 — 4x + 3 = 0
x2 — 4x + 3 = 0
D = b2 — 4ac = 16 — 4 * 1 * 3 = 4
[x1 = -b — √D/2a = 4 — 2/2 = 1
[x2 = -b + √D/2a = 4 + 2/2 = 3
(1) => [x = 0
[x = 1
[x = 3
Պատ․՝ 0; 1; 3
գ) x4 = 2x3 + 3x2 = 0
x4 — 2x3 — 3x2 = 0
x2(x2 + 2x — 3) = 0 = > [x2 = 0 =>[x = 0 (1)
[x2 — 2x — 3 = 0 = > [ x2 — 2x — 3 0
x2 — 2x — 3 = 0
D = b2 — 4ac = 4 — 4 * 1 * (-3) = 16
[x1 = -b — √D/2a = 2 — 4/2 = -1
[x2 = -b + √D/2a = 2 + 4/2 = 3
(1) => [x = 0
[x = -1
[x = 3
Պատ․՝ 0; -1; 3
դ) 10x2 = x4 + 3x3
x4 + 3x3 — 10x2 = 0
x2(x2 + 3x — 10) = 0 = > [x2 = 0 => [x = 0 (1)
[x2 + 3x — 10 = 0 = > [x2 + 3x — 10 = 0
x2 — 3x — 10 = 0
D = b2 — 4ac = 9 — 4 * 1 * (-10) = 49
[x1 = -b — √D/2a = -3 — 7/2 = -5
[x2 = -b + √D/2a = -3 + 7/2 = 2
(1) => [x = 0
[x = -5
[x = 2
Պատ․՝ 0; -5; 2