Question

Решите уравнение: (x^2-5x+4)(х^2-5х+6)=120 Решите пожалуйста срочно !...​

Answer 1

$x {}^{4} - 5x {}^{3} - 6x {}^{2} - 5x {}^{3} + 25x {}^{2} - 30x + 4x {}^{2} - 20x + 24 = 120$

$x {}^{4} - 10x {}^{3} + 35x {}^{2} - 50x + 24 = 120$

$x {}^{4} - 10x {}^{3} + 35x {}^{2} - 50x + 24 = 120$

$(x + 1) \times (x {}^{3} - 6x {}^{2} - 5x {}^{2} + 30x + 16x - 96 = 0$

$(x + 1) \times (x - 6) \times (x {}^{2} - 5x + 16) = 0$

$x + 1 = 0$

$x - 6 = 0$

$x1 = - 1$

$x2 = 6$