Question

найдите произведение корней уравнения
$(5 {x}^{2} - 3x - 8) log_{5}(x - 1) = 0$
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Answer 1

Ответ:

$log_{5}(x - 1) = 0 \\ x - 1 = {5}^{0} \\ x = 2$

$5 {x}^{2} - 3x - 8 = 0 \\ d = 9 + 160 = 169 = {13}^{2} \\ x1 = \frac{3 - 13}{10} = - 1 \\ x2 = 1.6$

$1.6 \times 2 \times ( -1 ) = - 3.2$