Вправи: 389

389. Розв’яжи рівняння.

а) 7x-24- x2 + 52+x = 32-x; 7x-2+52-x- 3(2+x)4-x2 = 0; 7x-2+10-5x-6-3x4-x2 = 0; -x+24-x2 = 0;

–x + 2 = 0, x = 2,

4 – x² ≠ 0; x ≠ 2, x ≠ –2; x = 4.

б) 3x-5x+1 – x+5x-3 = 2; 3x-5x-3- x+5x+1- 2(x+1)(x-3)x+1(x-3) = 0;

3x2- 9x-5x+15- x2- x-5x-5- 2x2+ 6x-2x+6x+1(x-3) = 0; -16x+16x+1(x-3) = 0;

–16x + 16 = 0, x = 1,

x + 1 ≠ 0, x – 3 ≠ 0; x ≠ –1, x ≠ 3; x = 1.

в) 2x – 4x2+ 32x-1 = 5; 4x2- 2x- 4x2- 32x-1 – 5(2x-1)2x-1 = 0; -2x-3-10x+22x-1 = 0;

-12x+22x-1 = 0; –12x + 2 = 0, x = 16,

2x – 1 ≠ 0; x ≠ 0,5; x = 16.