1. ![x^{2} +3x-18=0\\ x^{2} +3x-18=0\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B3x-18%3D0%5C%5C)
Д.=9-4*1*(-18)=9+72=81=![9^{2} 9^{2}](https://tex.z-dn.net/?f=9%5E%7B2%7D)
х1=
=3
х2=
=-6
2.![x^{2} -7=0 x^{2} -7=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-7%3D0)
![x^{2} =7 x^{2} =7](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D7)
![x= +- \sqrt{7} x= +- \sqrt{7}](https://tex.z-dn.net/?f=x%3D%20%2B-%20%5Csqrt%7B7%7D)
3.![x^{2} +x+14=0 x^{2} +x+14=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx%2B14%3D0)
Д.=1-4*1*14=1-56=-55
нет решений
4.
5. ![-2x^{2} +7x=0 -2x^{2} +7x=0](https://tex.z-dn.net/?f=-2x%5E%7B2%7D%20%2B7x%3D0)
х(-2х+7)=0
-2х+7=0 или х=0
-2х=-7
х=3,5
6.
/ *(-1)
![77x^{2} -18x+1=0 77x^{2} -18x+1=0](https://tex.z-dn.net/?f=77x%5E%7B2%7D%20-18x%2B1%3D0)
Д.=324-4*77*1=324-308=16=![4^{2} 4^{2}](https://tex.z-dn.net/?f=4%5E%7B2%7D)
х1=![\frac{18-16}{2*77} =\frac{1}{77} \frac{18-16}{2*77} =\frac{1}{77}](https://tex.z-dn.net/?f=%5Cfrac%7B18-16%7D%7B2%2A77%7D%20%3D%5Cfrac%7B1%7D%7B77%7D)
х2=![\frac{18+16}{2*77} =\frac{17}{77} \frac{18+16}{2*77} =\frac{17}{77}](https://tex.z-dn.net/?f=%5Cfrac%7B18%2B16%7D%7B2%2A77%7D%20%3D%5Cfrac%7B17%7D%7B77%7D)
7.![2x^{2} -19x-361=0 2x^{2} -19x-361=0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-19x-361%3D0)
Д.=361-4*2*(361)=361+2888=3248=![57^{2} 57^{2}](https://tex.z-dn.net/?f=57%5E%7B2%7D)
х1=![\frac{-19+57}{4} =9,5 \frac{-19+57}{4} =9,5](https://tex.z-dn.net/?f=%5Cfrac%7B-19%2B57%7D%7B4%7D%20%3D9%2C5)
х2=![\frac{-19-57}{4} =-19 \frac{-19-57}{4} =-19](https://tex.z-dn.net/?f=%5Cfrac%7B-19-57%7D%7B4%7D%20%3D-19)
8.
/ *(-1)
![4x^{2} +11x+5=0 4x^{2} +11x+5=0](https://tex.z-dn.net/?f=4x%5E%7B2%7D%20%2B11x%2B5%3D0)
Д.=121-4*4*5=121-80=41=![(\sqrt{41} )^{2} (\sqrt{41} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B41%7D%20%29%5E%7B2%7D)
х1=![\frac{-11+\sqrt{41} }{8} \frac{-11+\sqrt{41} }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B-11%2B%5Csqrt%7B41%7D%20%7D%7B8%7D)
х2=![\frac{-11-\sqrt{41} }{8} \frac{-11-\sqrt{41} }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B-11-%5Csqrt%7B41%7D%20%7D%7B8%7D)