Առաջադրանքներ՝ 549, 550

ա) √3x — 1 = 0

3x — 1 ≥ 0

3x ≥ 1

x ≥ 1/3

x ∈ [1/3, ∞)

3x — 1 = 0

3x = 1

x = 1/3

բ) √4x + 5 = 2

4x + 5 ≥ 0

4x ≥ -5

x ≥ -5/4

x ∈ [-5/4, ∞)

4x + 5 = 4

4x = 4 — 5

4x = -1

x = -1/4

գ) √7 — 3x = 1

7 — 3x ≥ 0

-3x ≥ -7

x ≥ 7/3

x ∈ [7/3, ∞)

7 — 3x = 1

-3x = 1 — 7 = -6

x = 2

դ) √ -x — 1 = 3

-x — 1 ≥ 0

-x ≥ 1

x ≤ -1

x ∈ (-∞, -1]

-x — 1 = 9

-x = 9 — 1

-x = 10

x = -10

ե) √ -4 + 5x = 2

-4 + 5x ≥ 0

5x ≥ 4

x ≥ 4/5

x ∈ [4/5, ∞)

-4 + 5x = 4

5x = 4 + 4 = 8

x = 8/5

զ) √ -x = 1/2

-x ≥ 0

x ≤ 0

x ∈ (-∞, 0 ]

-x = 1/4

x = -1/4

ա) √x = 3

x ≥ 0

x ∈ [ 0, ∞)

x = 9

բ) √x = 0

x ≥ 0

x ∈ [ 0, ∞)

x = 0

գ) √x = -1

x ≥ 0

x ∈ [ 0, ∞)

x = 1

դ) √2x = 1

2x ≥ 0

x ≥ 0

x ∈ [ 0, ∞)

2x = 1

x = 1/2

ե) √4x — 1 = 1

4x — 1 ≥ 0

4x ≥ 1

x ≥ 1/4

x ∈ [ 1/4, ∞)

4x — 1 = 1

4x = 1 + 1 = 2

x = 2/4 = 1/2

զ) √x + 2 = 1

x + 2 ≥ 0

x ≥ -2

x ∈ [ -2, ∞)

x + 2 = 1

x = 1 — 2

x = -1

է) √3x — 8 = 6

3x — 8 ≥ 0

3x ≥ 8

x ≥ 8/3

x ∈ [8/3, ∞)

3x — 8 = 36

3x = 36 + 8

3x = 44

x = 44/3

ը) √1 + 5x = 7

1 + 5x ≥ 0

5x ≥ -1

x ≥ -1/5

x ∈ [-1/5, ∞)

1 + 5x = 49

5x = 48

x = 48/5

թ) √x — 3 — 2 = 0

√ x — 3 = 2

x — 3 ≥ 0

x ≥ 3

x ∈ [ 3, ∞)

x — 3 + 4 = 0

x — 3 = 4

x = 7