Вправи 1001 - 1100 » 1094

1094. Знайди суму і різницю дробів: б) 1/(〖2x〗^2+ 5x-3) + 1/(〖2x〗^2- 7x+3) = 1/((x+3)(x2-1)) + 1/(x-3)(2x-1) = (x-3+x+3)/((x-3)(x+3)(2x-1)) = 2x/((x^2- 9)(2x-1)); 1/(〖2x〗^2+ 5x-3) – 1/(〖2x〗^2- 7x+3) = 1/((x+3)(2x-1)) – 1/((x-3)(2x-1)) = (x-3-x-3)/((x^2- 9)(2x-1)) = –6/(〖(x〗^2- 9)(2x-1)); x = (-5 ± √(25+14))/4 = (-5 ±7)/4; x1 = –3; x2 = 0,5; x’ = (7 ± √(49-24))/4 = (7 ±5)/4; x_1^' = 3; x_2^' = 0,5;