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МатематикаРешебник по алгебре 8 класс Мерзляк ФГОС Задание 740
Задание 740
\[\boxed{\mathbf{740\ (740).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ x² + bx + 6 = 0\]
\[x_{1} \cdot x_{2} = 6\]
\[x_{1} + x_{2} = - b\]
\[x_{1} = 6,\ \ x_{2} = 1,\ \ - b = 7,\ \ \]
\[b = - 7\]
\[x_{1} = - 6,\ \ x_{2} = - 1,\ \ \]
\[- b = - 7,\ \ b = 7\]
\[x_{1} = 3,\ \ x_{2} = 2,\ \ - b = 5,\]
\[\ b = - 5\]
\[x_{1} = - 3,\ \ x_{2} = - 2,\ \ \]
\[- b = - 5,\ \ b = 5\]
\[Ответ:\ при\ b = - 7;7;\ b = - 5;5.\]
\[2)\ x² + bx - 12 = 0\]
\[x_{1} \cdot x_{2} = - 12\]
\[x_{1} + x_{2} = - b\]
\[x_{1} = - 12,\ \ x_{2} = 1,\]
\[b = 11\]
\[x_{1} = - 1,\ \ x_{2} = 12,\]
\[b = - 11\]
\[x_{1} = 6,\ \ x_{2} = - 2,\ \ b = - 4\]
\[x_{1} = - 6,\ \ x_{2} = 2,\ \ b = 4\]
\[x_{1} = - 4,\ \ x_{2} = 3,\ \ b = 1\]
\[x_{1} = - 3,\ \ x_{2} = 4,\ \ b = - 1\]
\[Ответ:при\ b = 11;\ - 11;\ \]
\[b = - 4;4;b = 1;\ - 1.\]
\[\boxed{\mathbf{7}\mathbf{4}\mathbf{0}\mathbf{\text{.\ }}Еуроки\ - \ ДЗ\ без\ мороки}\]
| \[Уравнение\] | \[- \frac{b}{a}\] | \[\frac{c}{a}\] | \[x_{1}\] | \[x_{2}\] | \[x_{1} + x_{2}\] | \[x_{1}x_{2}\] |
|---|---|---|---|---|---|---|
| \[7x^{2} - 8x + 1 = 0\] | \[\frac{8}{7}\] | \[\frac{1}{7}\] | \[1\] | \[\frac{1}{7}\] | \[\frac{8}{7}\] | \[\frac{1}{7}\] |
| \[6x² + 13x - 15 = 0\] | \[- \frac{13}{6}\] | \[- \frac{15}{6}\] | \[- 3\] | \[\frac{5}{6}\] | \[- \frac{13}{6}\] | \[- \frac{15}{6}\] |
