Предмет: Алгебра,
автор: alexeyivanovnk1234
Помогите пожалуйста
Тема: теорема Виета
Приложения:
Ответы
Автор ответа:
0
По теореме Виета:
![x^2+px+q=0\
p=-(x_1+x_2)\
q=x_1*x_2](https://tex.z-dn.net/?f=x%5E2%2Bpx%2Bq%3D0%5C%0Ap%3D-%28x_1%2Bx_2%29%5C%0Aq%3Dx_1%2Ax_2 "x^2+px+q=0\
p=-(x_1+x_2)\
q=x_1*x_2")
![1. x_1+x_2=-17, x_1*x_2=-38\
2. x_1+x_2=16, x_1*x_2=-4\
3. 3x^2+8x-15=0\
x^2+frac{8}{3}x-5=0\
x_1+x_2=-frac{8}{3}, x_1*x_2=-5\
4. x_1+x_2=-frac{23}{7}, x_1*x_2=frac{5}{7}\
5. x_1+x_2=-2, x_1*x_2=-3\
6. x_1+x_2=-12, x_1*x_2=32\
7. x_1+x_2=7, x_1*x_2=10\
8. x_1+x_2=2, x_1*x_2=-3\
9. x_1+x_2=12, x_1*x_2=-32\
10. x_1+x_2=-frac{11}{2}, x_1*x_2=frac{15}{2}\
11. x_1+x_2=-1, x_1*x_2=-6\
12. x_1+x_2=frac{7}{2}, x_1*x_2=frac{3}{2}\](https://tex.z-dn.net/?f=1.+x_1%2Bx_2%3D-17%2C++x_1%2Ax_2%3D-38%5C%0A2.+x_1%2Bx_2%3D16%2C++x_1%2Ax_2%3D-4%5C%0A3.+3x%5E2%2B8x-15%3D0%5C%0Ax%5E2%2Bfrac%7B8%7D%7B3%7Dx-5%3D0%5C%0Ax_1%2Bx_2%3D-frac%7B8%7D%7B3%7D%2C++x_1%2Ax_2%3D-5%5C%0A4.+x_1%2Bx_2%3D-frac%7B23%7D%7B7%7D%2C++x_1%2Ax_2%3Dfrac%7B5%7D%7B7%7D%5C%0A5.+x_1%2Bx_2%3D-2%2C++x_1%2Ax_2%3D-3%5C%0A6.+x_1%2Bx_2%3D-12%2C++x_1%2Ax_2%3D32%5C%0A7.+x_1%2Bx_2%3D7%2C++x_1%2Ax_2%3D10%5C%0A8.+x_1%2Bx_2%3D2%2C++x_1%2Ax_2%3D-3%5C%0A9.+x_1%2Bx_2%3D12%2C++x_1%2Ax_2%3D-32%5C%0A10.+x_1%2Bx_2%3D-frac%7B11%7D%7B2%7D%2C++x_1%2Ax_2%3Dfrac%7B15%7D%7B2%7D%5C%0A11.+x_1%2Bx_2%3D-1%2C++x_1%2Ax_2%3D-6%5C%0A12.+x_1%2Bx_2%3Dfrac%7B7%7D%7B2%7D%2C++x_1%2Ax_2%3Dfrac%7B3%7D%7B2%7D%5C "1. x_1+x_2=-17, x_1*x_2=-38\
2. x_1+x_2=16, x_1*x_2=-4\
3. 3x^2+8x-15=0\
x^2+frac{8}{3}x-5=0\
x_1+x_2=-frac{8}{3}, x_1*x_2=-5\
4. x_1+x_2=-frac{23}{7}, x_1*x_2=frac{5}{7}\
5. x_1+x_2=-2, x_1*x_2=-3\
6. x_1+x_2=-12, x_1*x_2=32\
7. x_1+x_2=7, x_1*x_2=10\
8. x_1+x_2=2, x_1*x_2=-3\
9. x_1+x_2=12, x_1*x_2=-32\
10. x_1+x_2=-frac{11}{2}, x_1*x_2=frac{15}{2}\
11. x_1+x_2=-1, x_1*x_2=-6\
12. x_1+x_2=frac{7}{2}, x_1*x_2=frac{3}{2}\")
![13. x_1+x_2=-17, x_1*x_2=-18\
14. x_1+x_2=17, x_1*x_2=-18\
15. x_1+x_2=11, x_1*x_2=18\
16. x_1+x_2=-7, x_1*x_2=-38\
17. x_1+x_2=9, x_1*x_2=18\
18. x_1+x_2=13, x_1*x_2=36\
19. x_1+x_2=15, x_1*x_2=36\
20. x_1+x_2=5, x_1*x_2=-36\](https://tex.z-dn.net/?f=13.+x_1%2Bx_2%3D-17%2C++x_1%2Ax_2%3D-18%5C%0A14.+x_1%2Bx_2%3D17%2C++x_1%2Ax_2%3D-18%5C%0A15.+x_1%2Bx_2%3D11%2C++x_1%2Ax_2%3D18%5C%0A16.+x_1%2Bx_2%3D-7%2C++x_1%2Ax_2%3D-38%5C%0A17.+x_1%2Bx_2%3D9%2C++x_1%2Ax_2%3D18%5C%0A18.+x_1%2Bx_2%3D13%2C++x_1%2Ax_2%3D36%5C%0A19.+x_1%2Bx_2%3D15%2C++x_1%2Ax_2%3D36%5C%0A20.+x_1%2Bx_2%3D5%2C++x_1%2Ax_2%3D-36%5C "13. x_1+x_2=-17, x_1*x_2=-18\
14. x_1+x_2=17, x_1*x_2=-18\
15. x_1+x_2=11, x_1*x_2=18\
16. x_1+x_2=-7, x_1*x_2=-38\
17. x_1+x_2=9, x_1*x_2=18\
18. x_1+x_2=13, x_1*x_2=36\
19. x_1+x_2=15, x_1*x_2=36\
20. x_1+x_2=5, x_1*x_2=-36\")
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