Հանրահաշիվ Դասարանական և Տնային աշխատանքներ 20.09.2022

129.

ա) (x-4)2 > 0

(x-4)2 = 0

x — 4 = 0

x = 4

x∈(-∞; 4) U (4; +∞)

գ) (2x — 3)2 > 0

(2x — 3)2 = 0

2x — 3 = 0

2x = 3

x = 3/2

x∈(-∞; 3/2) U (3/2; +∞)

130.

ա) x2 — 4x + 4 > 0

x2 — 4x + 4 = 0

D = b2 — 4ac = 16 — 16 = 0

x = b/2a = 4/2 = 2

x∈(-∞; 2) U (2; +∞)

բ) x2 — 2x + 1 > 0

x2 — 2x + 1 = 0

D = b2 — 4ac = 4 — 4 = 0

x = -b/2a = 2/2 = 1

x∈(-∞; 1) U (1; +∞)

գ) x2 + 10x + 25 < 0

x2 + 10x + 25 = 0

D = b2 — 4ac = 100 — 4 * 25 = 0

x = -b/2a = -10/2 = -5

Պատ.՝ O

դ) x2 — 8x + 16 < 0

x2 — 8x + 16 = 0

D = b2 — 4ac = 64 — 64 = 0

x = -b/2a = 8/2 = 4

Պատ.՝ O

131.

ա) x2 — 2x + 1 > 0

x2 — 2x + 1 = 0

D = b2 — 4ac = 4 — 4 = 0

x = -b/2a = 2/2 = 1

x∈(-∞; 1) U (1; +∞)

բ) x2 + 6x + 9 < 0

x2 + 6x + 9 = 0

D = b2 — 4ac = 36 — 36 = 0

x = -b/2a = -6/2 = -3

Պատ.՝ O

գ) x2 + 4x + 4 < 0

x2 + 4x + 4 = 0

D = b2 — 4ac = 16 — 16 = 0

x = -b/2a = -4/2 = -2

Պատ.՝ O

դ) 4x2 — 4x + 1 > 0

4x2 — 4x + 1 = 0

D = b2 — 4ac = 16 — 16 = 0

x = -b/2a = 4/8 = 1/2

x∈(-∞; 1/2) U (1/2; +∞)

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