Предмет: Алгебра, автор: mobilochkah86

ДАЮ 70 БАЛІВ !!!!!!!​

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Автор ответа: сок111213
2

\frac{p + 4}{p - 2} = \frac{2p - 7}{p - 4} \\ (2p - 7)(p - 2) = (p + 4)(p - 4) \\ 2 {p}^{2} - 4p - 7p + 14 = {p}^{2} - 16 \\ 2 {p}^{2} - 11p + 14 - {p}^{2} + 16 = 0 \\ {p}^{2} - 11p + 30 = 0

По теореме Виета:

{x}^{2} + bx + c = 0 \\ x _{1} + x_{2} = - b \\ x _{1} x_{2} = c

p_{1} + p_{2} = 11\\ p _{1} p_{2} =30 \\ p_{1} = 5\\ p_{2} = 6

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