Помогите решить уравнения

.01

√(12 – x) – √(x + 1) = √(4 – x),
√(–x + 12) – √(x + 1) = √(–x + 4),
13 – 2√(–(x – 12)(x + 1)) = –x + 4,
–4x² + 44x + 48 = x² + 18x + 81,
–5x² + 26x – 33 = 0,
–(x – 3)(5x – 11) = 0,
(x – 3)(5x – 11) = 0.

x – 3 = 0,
5x – 11 = 0.

x = 3,
5x = 11.

x = 3,
x = 2,2.

Ответ: 2,2; 3.

.02

x² + 2x + 8 = 0 — a = 1; b = 2; c = 8,
D = b² – 4ac = 2² – 4 × 1 × 8 = –28 < 0; нет корней.

Ответ: ∅.

.03

16/(x – 3) + 30/(1 – x) = 3,
(x – 1) × 16 + (3 – x) × 30 = 3(x – 3)(x – 1),
–14x + 74 = 3x² – 12x + 9,
–2x + 65 – 3x² = 0,
–3x² – 2x + 65 = 0,
3x² + 2x – 65 = 0,
3x² + 15x – 13x – 65 = 0,
3x × (x + 5) – 13(x + 5) = 0,
(x + 5) × (3x – 13) = 0.

x + 5 = 0,
3x – 13 = 0.

x = –5,
x = 13/3.

Ответ: –5; 13/3.

.04

54(2 – 3x) = 7 – 5x,
108 – 162x = 7 – 5x,
–162x + 5x = 7 – 108,
–157x = –101,
x = 101/157.

Ответ: 101/157.

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1)x = 13- 4√3.
2)нет решений.
3)с помощью photomath. x1 = - 5; x2 = 13/3 (дробь).
4)x = 101/157 (дробь).