Question

Уравнение решить помогите

Answer 1

$(x - 3)(x - 4)(x - 5) = (x - 2)(x - 4)(x - 5) \ (x - 3)(x - 4)(x - 5) - (x - 2)(x - 4)(x - 5) = 0 \ (x - 4)(x - 5)(x - 3 - (x - 2)) = 0 \ (x - 4)(x - 5)(x - 3 - x + 2) = 0 \ (x - 4)(x - 5) times ( - 1) = 0 \ (x - 4)(x -5) = 0 \ x = 4 \ x = 5$
Ответ: 4; 5.

$frac{4}{x - 9} + frac{9}{x - 4} = 2 \ frac{4(x - 4) + 9(x - 9) }{(x - 9)(x - 4)} = frac{2(x - 9)(x - 4)}{(x - 9)(x - 4)} \ frac{4x - 16 + 9x - 81 - 2(x - 9)(x - 4)}{(x - 9)(x - 4)} = 0 \ frac{13x - 97 - 2( {x}^{2} - 9x - 4x + 36) }{(x - 9)(x - 4)} = 0 \ frac{13x - 97 - 2 {x}^{2} + 18x + 8x - 72}{(x - 9)(x - 4)} = 0 \ frac{ - 2 {x}^{2} + 39x - 169}{(x - 9)(x - 4)} = 0 \ 2 {x}^{2} - 39x + 169 = 0 \ d = {b}^{2} - 4ac = 1521 - 4 times 2 times 39 = 169 \ x1 = frac{39 + 13}{2 times 2} = frac{52}{4} = 13 \ x2 = frac{39 - 13}{2 times 2} = frac{26}{4} = frac{13}{2}$
Ответ: 13/2; 13.