Рубрика: Հանրահաշիվ 9

Դասարանական Աշխատանք

ax^2 + bx + c = 0
D = b^2 — 4ac
X1 = -b — VD/ 2a
X2 = -b + VD/ 2a

ա) 2x^2 + 5x + 3 = 0
a = 2, b = 5, c = 3
D = 25 — 4 * 2 * 3 = 25 — 24 = 1
X1 = -5 — 1 / 4 = -6 : 4 = -1.5
X2 = -5 + 1/ 4 = -4 : 4 = -1
բ) 2x^2 — 5x + 3 = 0
a = 2, b = -5, c = 3
D = 25 — 4 * 2 * 3 = 25 — 24 = 1
X1 = 5 — 1 / 4 = -6 : 4 = -1.5
X2 = 5 + 1/ 4 = 6 : 4 = 1.5
գ) 2x^2 + 5x — 3 = 0
a = 2, b = 5, c = -3
X1 = -5 — 7 / 4 = -12 : 4 = -3
դ) 2x^2 — 5x — 3 = 0
a = 2, b = -5, c = -3
D = 25 — 2 * 2 * (-3) = 25 + 24 = 49
X1 = 5 — 7 / 4 = -2 : 4 = -0,5
X2 = 5 + 7 / 4 = 12 : 4 = 3
ե) x^2 = 4x + 5 = 0
a = 1, b = -4, c = 5
D = 16 — 4 * 1 * 5 = 16 — 20 = -4 Չի լուծվում
զ) x^2 + 6x + 9 = 0
a = 1, b = 6, c = 9
D = 36 — 4 * 1 * 9 = 36 — 36 = 0
X1 = -6 — 0 / 2 = -6 : 2 = -3
X2 = -6 + 0 / 2 = -6 : 2 = -3
է) x^2 + 2x + 1 = 0
a = 1, b = 2, c = 1
D = 4 — 4 * 1 * 1 = 4 — 4 = 0
X1 = -2 — 0 / 2 = -2 : 2 = 1
X2 = -2 + 0 / 2 = -2 : 2 = 1
ը) -3x^2 + 5x — 2 = 0
a = -3, b = 5, c = -2
D = 25 — 4 * (-3) * (-2) = 25 — 24 = 1
X1 = -5 — 1 / -6 = -6 : -6 = 1
X2 = -5 + 1 / -6 = -4 : -6 =
թ)