Շտեմարանային աշխատանքներ

155. (x-3) (x+2) = 14

x² + 2x – 3x – 6 = 14

x² + 2x – 3x – 6 – 14 = 0

x² – x – 20 = 0

D = 1 – 4 × 1 × (-20)

D = 81

x1 = -1 + √81/2×1 = 4

x2 = -1 – √81/2×1 = -5

161. (2x-1) (x-3) = -2

2x² – 6x – x + 3 = -2

2x² – 6x – x + 3 + 2 = 0

2x² – 7x + 5 = 0

D = 49 – 4 × 2 × 5

D = 9

x1 = -7 + √9/2×2 = -1

x2 = -7 – √9/2×2 = 5/2

191. |5x-5| = 0

5x – 5 = 0

5x = 0 + 5

5x = 5

x = 1

197. |2x-6| – 5 = 3

|2x-6| = 3+5

2x-6 = ±8

—

2x-6 = -8

2x = -8+6

2x = -2

x = -1

—

2x-6 = 8

2x = 8+6

2x = 14

x = 7

—

Պատ.` x = -1, x = 7

203. |x| + 2 = 2x

|x| = 2x – 2

|x| – 2x = -2

212. |3x – 6| = x-4

-3 + 6 = x – 4

-3x – x = -4 – 6

-4 = -10

x = 10/4

x = 5/2