Вправи: 252

252. Розв’яжіть рівняння:

1) x+42x-1 – x+82x+1 = 0; x+42x+1- (x+8)(2x-1)2x-1(2x+1) = 0;

2x² + x + 8x + 4 – 2x² – 16x + x + 8 = 0 –6x = –12,

2x – 1 ≠ 0, x ≠ 12, x = 2.

2x + 1 ≠ 0; x ≠ –12;

2) 15x – 110x = 130; 2-110x = 130; 110x = 130; 10x = 30,

x ≠ 0; x = 3.

3) 2 + 1x-2 = 8-x2-x; 2x-4+1x-2 = x-8x-2; 2x-3x-2 = x-8x-2; 2x – 3 = x – 8,

x ≠ 2;

x = –5,

x ≠ 2; x = –5.

4) 1x-1 – 15x-5 = 110; 1x-1 – 15(x-1) = 110; 5-15(x-1) = 110;

4x-1 = 12; x – 1 = 8,

x – 1 ≠ 0; x = 9.