{l}{P{(x)}*P{(x+7)}=x^2-5x-6}{a=P{(10)}}{text{Solvefor}btext{where}}{b=a} పరిష్కరించండి

$$\left. \begin{array} { l } { P {(x)} \cdot P {(x + 7)} = x ^ {2} - 5 x - 6 }\\ { a = P {(10)} }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

xని పరిష్కరించండి (సంకీర్ణ పరిష్కారం)

$$\left\{\begin{matrix}x=\frac{\sqrt{49a^{4}+4600a^{2}+490000}-7a^{2}-500}{2\left(a^{2}-100\right)}\text{; }x=-\frac{\sqrt{49a^{4}+4600a^{2}+490000}+7a^{2}+500}{2\left(a^{2}-100\right)}\text{, }&b=a\text{ and }P=\frac{a}{10}\text{ and }a\neq 10\text{ and }a\neq -10\\x=-\frac{6}{7P^{2}+5}\text{, }&\left(b=10\text{ and }a=10\text{ and }P=1\right)\text{ or }\left(b=-10\text{ and }a=-10\text{ and }P=-1\right)\end{matrix}\right.$$

xని పరిష్కరించండి

$$\left\{\begin{matrix}x=\frac{\sqrt{49a^{4}+4600a^{2}+490000}-7a^{2}-500}{2\left(a^{2}-100\right)}\text{; }x=-\frac{\sqrt{49a^{4}+4600a^{2}+490000}+7a^{2}+500}{2\left(a^{2}-100\right)}\text{, }&P=\frac{b}{10}\text{ and }a=b\text{ and }|b|\neq 10\\x=-\frac{6}{7P^{2}+5}\text{, }&\left(b=-10\text{ and }P=-1\text{ and }a=-10\right)\text{ or }\left(b=10\text{ and }P=1\text{ and }a=10\right)\end{matrix}\right.$$