Question

Решить уравнение ...........

Answer 1

Ответ:

$x_1 = frac{5}{6} \ x_2 = 1.5$

Пошаговое объяснение:

$frac{1}{ {(x - 1)}^{2} } + frac{4}{x - 1} - 12 = 0 : : : : : : : | : x≠ 1 \ frac{1 + 4(x - 1) - 12 {(x - 1)}^{2}}{ {(x - 1)}^{2} } = 0 \ 1 + 4x - 4 - 12( {x}^{2} - 2x + 1) = 0 \ 1 + 4x - 4 - 12 {x}^{2} + 24x - 12 = 0 \ - 12 {x}^{2} + 28x - 15 = 0 \ D = {28}^{2} - 4 times ( - 12) times ( - 15) = 784 - 720 = 64 \ sqrt{D} = sqrt{64} = 8 \ x_1 = frac{ - 28 + 8}{2 times ( - 12)} = frac{ - 20}{ - 24} = frac{5}{6} \ x_2 = frac{ - 28 - 8}{2 times ( - 12)} = frac{ - 36}{ - 24} = frac{3}{2} = 1.5$