Вправи: 253

253. Розв’яжіть рівняння:

1) x+13x+1 – x3x-1 = 0; x+13x-1- x(3x+1)3x+1(3x-1) = 0;

3x² – x + 3x – 1 – 3x² – x = 0, x = 1,

3x + 1 ≠ 0, x ≠ –13, x = 1.

3x – 1 ≠ 0; x ≠ 13;

2) 16x – 12x = 16; 1-36x = 16; –13x = 16; –3x = 6,

x ≠ 0; x = –2.

3) 3 + 11-x = xx-1; 3-3x+11-x = -x1-x; –3x + 4 = –x, 2x = 4,

x ≠ 1; x ≠ 1; x = 2.

4) 14x+4 – 1x+1 = 38; 14(x+1) – 1x+1 = 38; 1-44(x+1) = 38;

3-4(x+1) = 38; –4(x + 1) = 8, x + 1 = –2,

x + 1 ≠ 0; x + 1 ≠ 0; x = –3.