Вправи: 369

369. Розв’яжи рівняння.

a) x+3x – 2 = 0, x+3-2xx = 0, 3- xx = 0, 3 – x = 0,

x ≠ 0; x = 3;

б) 2x-13x = 0, 2x – 1 = 0,

x ≠ 0; x = 0,5;

в) xx+2 – 2 = 0, x-2x-4x+2 = 0, -x-4x+2 = 0, –x – 4 = 0,

x + 2 ≠ 0; x = –4;

г) x-8x = 3, x-8-3xx = 0, -2x-8x = 0, –2x – 8 = 0,

x ≠ 0; x = –4;

ґ) 5- xx = 6, 5- x-6xx = 0, 5-7xx = 9, 5 – 7x = 0,

x ≠ 0; x = 57;

д) xx-2 = 2, x-2x+4x-2 = 0, -x+4x-2 = 0, –x + 4 = 0,

x – 2 ≠ 0; x = 4.

369. Розв’яжи рівняння.

a) x-5x – 2 = 0, x-5-2xx = 0, -x- 5x = 0, –x – 5 = 0,

x ≠ 0; x = –5;

б) xx+6 + 2 = 0, x+2x+12x+6 = 0, 3x+12x+6 = 0, 3x + 12 = 0, x = –4,

x + 6 ≠ 0; x ≠ –6; x = –4;

в) 3x- 7x + 4 = 0, 3x-7+4xx = 0, 7x-7x = 0, 7x – 7 = 0,

x ≠ 0; x = 1;

г) 3x-4x = 2, 3x-4-3xx = 0, x-4x = 0, x – 4 = 0,

x ≠ 0; x = 4;

ґ) 5-2xx = 3, 5-2x-3xx = 0, 5-5xx = 0, 5 – 5x = 0,

x ≠ 0; x = 1;

д) 2xx+3 = 1, 2x- x-3x+3 = 0, x-3x+3 = 0, x – 3 = 0, x = 3,

x + 3 ≠ 0; x ≠ –3; x = 3.