Question

Решите уравнения:
1) х(х-4)+х-4=0
2) t(t+7)-4t-38=0

Answer 1

$1)x \times (x - 4) + x - 4 = 0 \\ (x + 1) + (x - 4) = 0 \\ x1 = x + 1 = 0 \\ x1 = - 1 \\ x2 = x - 4 = 0 \\ x2 = 4$
$2)t \times (t + 7) - 4t - 28 = 0 \\ t \times (t + 7) - 4 \times (t + 7) = 0 \\ (t + 7) \times (t - 4) = 0 \\ t + 7 = 0 \\ t = - 7 \\ t2 = t - 4 = 0 \\ t2 = 4$