Вправи: 471

471. Розв’яжи рівняння.

a) 2x^–1 – x^–1 = 2; 2x – 1x = 2; 1x = 2; x = 12;

б) x^–2 – x^–1 = 0; 1x2 – 1x = 0; 1-xx = 0; 1 – x = 0,

x ≠ 0; x = 1;

в) (2x – 1)x^–1 = x; 2x-1x – x = 0; 2x-1-x2x = 0; x2- 2x+1x = 0;

(x – 1)² = 0,

x ≠ 0; x = 1.