Решение №6238: \( \left\{\begin{matrix}x_{1}+x_{2}=88 \\ x_{1}*x_{2}=780 \end{matrix}\right. \left\{\begin{matrix}x_{1}=88-x_{2} \\ (88-x_{2})x_{2}=780 \end{matrix}\right. 88x_{2}-x_{2}^{2}-780=0 -x_{2}^{2}+88x_{2}-780=0 | *(-1) x_{2}^{2}-88x_{2}+780=0 D=(-88)^{2}-4*1*780=7744-3120=4624=68^{2} x_{2}=\frac{88-68}{2}=10; x_{2}=\frac{88+68}{2}=78 \).

Ответ: NaN

Решение №6241: \( \left\{\begin{matrix}x_{1}+x_{2}=-35 \\ x_{1}*x_{2}=-114 \end{matrix}\right. \left\{\begin{matrix}x_{1}=-35-x_{2} \\ (-35-x_{2})x_{2}=-114 \end{matrix}\right. -35x_{2}-x_{2}^{2}+114=0 | *(-1) x_{2}^{2}+35x_{2}-114=0 D=35^{2}-4*1*(-114)=1225+456=1681=41^{2} x_{2}=\frac{-35-41}{2}=-38; x_{2}=\frac{-35+41}{2}=3 \).

Ответ: NaN

Решение №6250: \( x_{1}+x_{2}=2,5+(-2)=0,5 \Rightarrow b=-0,5 x_{1}*x_{2}=2,5*(-2)=-5 \Rightarrow c=-5 x_{2}-0,5x-5=0 \).

Ответ: NaN

Решение №6251: \( x_{1}+x_{2}=\frac{2}{3}+(-1\frac{1}{2})=\frac{2}{3}-\frac{3}{2}=\frac{4-9}{6}=\frac{-5}{6} \Rightarrow b=\frac{5}{6} x_{1}*x_{2}=\frac{2}{3}*(-1\frac{1}{2})=\frac{2}{3}*(-\frac{3}{2})=-1 \Rightarrow c=-1 x_{2}+\frac{5}{6}x-1=0 \).

Ответ: NaN

Решение №6253: \( x_{1}+x_{2}=\frac{3}{5}+(-1\frac{2}{3})=\frac{9}{12}-1\frac{10}{15}=-1\frac{1}{15} \Rightarrow b=1\frac{1}{15} x_{1}*x_{2}=\frac{3}{5}*(-1\frac{2}{3})= \frac{3}{5}*(-\frac{5}{3})=-1 \Rightarrow c=-1 x_{2}+1\frac{1}{15}x-1=0 \).

Ответ: NaN

Решение №6259: \( x_{1}+x_{2}=\frac{1+\sqrt{5}}{2}+\frac{1-\sqrt{5}}{2}=\frac{1+\sqrt{5}+1-\sqrt{5}}{2}=\frac{2}{2}=1 \Rightarrow b=-1 x_{1}*x_{2}=\frac{1+\sqrt{5}}{2}*\frac{1-\sqrt{5}}{2}=\frac{1-5}{4}=\frac{-4}{4}=-1 \Rightarrow c=-1 x_{2}-x-1=0 \).

Ответ: NaN

Решение №6264: \( D=(-78)^{2}-4*3*49=6084-588=5496 x_{1}=\frac{78-\sqrt{5469}}{6} x_{2}=\frac{78+\sqrt{5469}}{6} \frac{x_{1}+x_{2}}{2}=\frac{\frac{78-\sqrt{5469}}{6}+\frac{78+\sqrt{5469}}{6}}{2}=\frac{\frac{156}{6}}{2}=\frac{312}{6}=52 \sqrt{x_{1}*x_{2}}=\sqrt{\frac{78-\sqrt{5469}}{6}+\frac{78+\sqrt{5469}}{6}}}=\sqrt{\frac{78^{2}-5496}{6^{2}}}=\sqrt{\frac{6084-5496}{6^{2}}}=\frac{\sqrt{588}}{6} \).

Ответ: NaN

Решение №6265: \( D=(-72)^{2}-4*1*0,04=5184-0,16=5783,84 x_{1}=\frac{72-\sqrt{5183,84}}{2} x_{2}=\frac{72+\sqrt{5183,84}}{2} \frac{x_{1}+x_{2}}{2}=\frac{\frac{72-\sqrt{5183,84}}{2}+\frac{72+\sqrt{5183,84}}{2}}{2}=\frac{144*2}{2}=144 \sqrt{x_{1}*x_{2}}=\sqrt{\frac{72-\sqrt{5183,84}}{2}*\frac{72+\sqrt{5183,84}}{2}}=\sqrt{\frac{72^{2}-5183,84}{4}}=\sqrt{\frac{5184-5183,84}{4}}=\frac{\sqrt{0,16}}{4}=\frac{0,4}{2}=0,2 \).

Ответ: NaN

Решение №6266: \( \left\{\begin{matrix}\frac{x_{1}+x_{2}}{2}=4 \\ \sqrt{x_{1}*x_{2}}=2 \end{matrix}\right. \left\{\begin{matrix}x_{1}+x_{2}=8 \\ \sqrt{x_{1}*x_{2}}=2 \end{matrix}\right. \left\{\begin{matrix}x=8-x_{2} \\ x_{1}*x_{2}=4 \end{matrix}\right. \left\{\begin{matrix}x_{1}+x_{2}=8 \\ x_{1}*x_{2}=4 \end{matrix}\right. (8-x_{2})x_{2}=4 8x_{2}-x_{2}^{2}-4=0 -x_{2}^{2}+8x_{2}-4=0 | *(-1) x_{2}^{2}-8x_{2}+4=0 D=(-8)^{2}-4*1*4=64-16=48 x_{1}=\frac{8-\sqrt{48}}{2}=\frac{8-2\sqrt{12}}{2}=\frac{8-2\sqrt{12}}{2}=4-\sqrt{12} x_{2}=4+\sqrt{12} \Rightarrow b=-8; c=4 \).

Ответ: NaN

Решение №6268: \( \left\{\begin{matrix}\frac{x_{1}+x_{2}}{2}=16 \\ \sqrt{x_{1}*x_{2}}=12 \end{matrix}\right. \left\{\begin{matrix}x_{1}+x_{2}=32 \\ x_{1}*x_{2}=144 \end{matrix}\right. \Rightarrow b=-32, c=144 x^{2}-32x+144=0 \). \).

Ответ: NaN