12 | Փետրվար | 2023 | Նանե Խաչատրյան

ա) x² + 2x/x — 2 = 0 Թ․Ա․Բ․ X — 2 = 0

x² + 2x = 0
x (x + 2) = 0

[x = 0 = > [x = 0
[x + 2 = 0 = > [x = -2

Պատ․՝ 0 ; — 2

բ) 3x² — 7x = 0/x² + 1 = 0

3x² — 7x = 0
x (3x — 7) = 0

[x = 0 = > [x = 0 = > [x = 0
[3x — 7 = 0 = > [3x = 7 = > [x = 7/3

Պատ․՝ 0 ; 7/3

գ) (x — 7)(1,5 + x)/x² — 3x + 4 = 0

(x — 7)(1,5 + x) = 0
(x — 7)(3/2 + x) = 0

[x — 7 = 0 = > [x = 7
[3/2 + x = 0 = > [x = 3/2

Պատ․՝ 7 ; -3/2

դ) (-2 — x)(x — 8,5)/(x — 3)(x + 4) = 0

(-2 — x)(x — 0,5) = 0
(-2 — x)(x — 17/2) = 0

[-2 — x = 0 = > [x = -2
[x — 17/2 = 0 = > [x = 17/2

Պատ․՝ -2 ; 17/2

ե) x² — 8x + 7/ x — 3 = 0
Թ․Ա․Բ․ x — 3 = 0

x² — 8x + 7 = 0

D = b² — 4ac = 64 — 4 * 7 = 36

x₁ = -b — √D/2a = 8 + 6/2 = 7
x₂ = -b — √D/2a = 8 — 6/1 = 1

Պատ․՝ 7 ; 1

զ) 4x² — 4x — 3/x + 2 = 0
Թ․Ա․Բ x + 2 ≠ 0

D = b² — 4ac = 16 — 4 * 4 * (-3) = 64

x₁ = -b — √D/2a = 4 + 8/8 = 3/2
x₂ = -b + √D/2a = 4 — 8/8 = -1/2

Պատ․՝ 3/2; -1/2

է) 4x² — 12x — 27/x² — 3x — 10 = 0

4x² — 12x — 27 = 0

D = b² — 4ac = 144 — 4 * 4 * (-27) = 576

x₁ = -b — √D/2a = 12 — 24/8 = -1,5
x₂ = -b + √D/2a = 12 + 24/8 = 4,5

Պատ․՝ -1,5; 4,5

ը) 4x² + 4x — 35/x² — 7x + 1

4x² + 4x — 35 = 0

D = b² — 4ac = 16 — 4 * 4 * (-35) = 576

x₁ = -b — √D/2a = 4 — 24/8 = -7/2
x₂ = -b + √D/2a = 12 + 24/8 = -4 + 24/8 = 5/2

Պատ․՝ -7/2; 5/2

ա) x² — 2x + 1/x — 7 = 0
Թ․Ա․Բ x — 7 ≠ 0

x² — 2x + 1 = 0
x² — 2x + 1= (x — 1)²
(x — 1)² = 0
x — 1 = 0
x = 1

բ) x² + 4x + 4/x + 8 = 0
Թ․Ա․Բ x + 8 ≠ 0

x² + 4x + 4 = 0
x² + 4x + 4 = (x + 2)²
(x + 2)² = 0
x + 2 = 0
x = -2

գ) x² — 2x + 3/ x² — 7x + 5 = 0

դ) x² + 3x + 5/ x² + 3x — 1 = 0

ե) (x — 1)²(x + 2)/x — 1 = 0
Թ․Ա․Բ x — 1 ≠ 0

(x — 1)²(x + 2)/~~x — 1~~ = 0
(x — 1)(x + 2) = 0

[x — 1 = 0….=> [x = 1
[x + 2 = 0……..[x = -2

զ) (x + 7)²(x — 4)/x — 4 = 0
Թ․Ա․Բ x — 4 ≠ 0

(x + 7)²~~(x — 4)~~/~~x — 4~~ = 0
(x + 7)² = 0
x + 7 = 0
x = -7

ա) x² + x — 6/x + 3 = 0
Թ․Ա․Բ x + 3 ≠ 0

x² + 3x — 2x — 6/x + 3 = 0
x(x +3) — 2(x + 3)/x + 3 = 0
~~(x + 3)~~(x — 2)/~~x + 3~~ = 0
x — 2 = 0
x = 2

բ) x² — x — 20/x — 5 = 0
Թ․Ա․Բ․ x — 5 ≠ 0

x² + 4x — 5x — 20/x — 5 = 0
x(x + 4) — 5(x — 5)/x — 5 = 0
(x + 4)~~(x — 5)~~/~~x — 5~~ = 0
x + 4 = 0
x = -4

գ) x + 7/x + 7 = 0
1 ≠ 0
լուծում չունի

դ) x — 9/x — 9 = 0
1 ≠ 0
լուոծում չունի

ա) x³ — 4x² + 5x/ x² — 3 = 0

բ) x³ + 3x² — 18x/ x² + 4 = 0

x³ + 3x² — 18x = 0
x(x² + 3x — 18) = 0
x(x² + 6x — 3x — 18) = 0
x *(x *(x + 6) — 3(x + 6)) = 0
x(x + 6)(x — 3) = 0

[x = 0……………….[x = 0
[x + 6 = 0……..=>[x = -6
[x — 3 = 0…………..[x = 3

գ) 2x³ — 7x² + 6x/ 2x² — 3x = 0

2x³ — 7x² + 6x/ x(2x — 3) = 0
x(2x² — 7x + 6)/ x(2x — 3) = 0
x(2x² — 3x — 4x + 6)/ x(2x — 3) = 0
2x² — 3x — 4x + 6/2x — 3 = 0
x(2x -3) — 2(2x — 3)/2x — 3 = 0
(~~2x — 3~~)(x — 2)/ ~~2x — 3~~ = 0
x — 2 = 0
x = 2

Bourbon Street, New Orleans, USA

For many New Orleans visitors, Bourbon Street embodies the life of a party town. The street is lit by neon lights, throbbing with music and decorated by beads and balconies.

In one of the oldest cities in America, Bourbon Street is rich with historic venues, social tales and iconic buildings. The street dates back to 1718, when New Orleans was founded. French engineer laid out the streets of New Orleans in 1721 and chose one to carry the name of the French royal family ruling at the time, Rue Bourbon. This monumental street is in the heart of the French Quarter.

New Orleans’ natives might avoid this chaotic street, but if you’re yearning for a wild night out there’s no better place to go than Bourbon Street. It’s full of bars, restaurants, burlesque shows and other things.