теорема виета

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<ul><li> 1. : ., </li></ul> <p> 2. . . . , . , . ! . . . . 3. , (Viete) (1540, - - , -13.12.1603, ), .. . 1591 , ; . 2- , 3- 4- . 4. (.. , x2 ) x2 + px + q = 0 p, , q: x1 + x2 = p, x1x2 = q. ax2 + bx + c = 0: x1 + x2 = -b / a, x1x2 = c / a. 5. , , - . . ?. : , ( 497); , ( 500); ( 499); , (501). 6. m n , m+n=-, mn=g, 2++g=0. 7. : , 8 7.: 1 (-8)(-7)=0, 2-15+56=0;2 :2-(8+7)+8*7=0, 2-15+56=0. 8. ! , :) 11 4; )-4 -5; )-10 2; )-1 15. , , , :)3 1/3; )1/2 2/3; )-1/3 1/4 . 9. 1 2 1 1) (-11)(-4)=0,) (+4)(+5)=0, ) 2-(11+4)+11*4=0,) 2-(-4-5)+(-4)(-5)=02-15+44=0. 2+9+20=0.2-15+44=0.2+9+20=0.) (+10)(-2)=0,) (+1)(-15)=0,) 2-(-10+2)+(-10)2=0, ) 2-(15-1)+(-1)15=0, 2+8-20=0.2-14-15=0. 2+8-20=0.2-14-15=0 2 2) (-3)(-1/3)=0, ) (-1/2)(-2/3)=0, ) 2-(3+1/3)+3*1/3=0, ) 2-(1/2+2/3)+1/2*2/3=02-10/3+1=0,2-7/6+1/3=0,2-10/3+1=0, 2-7/6+1/3=0,32-10+3=0. 62-7+2=0. 32-10+3=0.62-7+2=0.) (+1/3)(-1/4)=0,) 2-(-1/3+1/4)+1/4(-1/3)=0, 2+1/12-1/12=0 2+1/12-1/12=0, 122+-1=0. 122+-1=0. 10. . + b + = 0, 1. . - b + = 0, - - 1 11. 1 21. 1. . . 2 - 7 + 6 = 0(5), 42 - 17 +1 = 0 (5),2 - - 2 = 0(1), 2 + 8 2 = 0 (1),-2 - 2 + 1 = 0(4).-2 - + 1 = 0 (4)?2. 72 + 14 - 21 =0 2. 82-24+ 16= 0 2 + 2 - 3 = 0(5),2 - + 2 = 0 (6),-2 -2 + 3 = 0(6),-2 +3 - 2 = 0 (5),7 + 14x-21 = 0 (7). 2- 82 + 24 - 16 = 0 (7).3. 3. 2 - 5 - 6 = 0 2 + 8 -7 = 0 - 6 (2),-7 (2),- 5 (3),- 8 (0),5 (4).8 (4). 12. 4. 4. 2 + - 2 = 0 2 -2 - 3 = 0 -1 (2),-3 (3), 2 (1), 4 (1),-2 (0).-2 (0).5. 5. ?2 - 0,4 -1=0 (-),2 + 57 + 15,1 = 0 (-),2 + 4 + 0,2= 0 (+),2 -4,1 + 3,5 = 0 (+),2 - + 48 = 0 (*) ? 2 - 18 - 0,48 = 0 (.) ? 13. : 1540 - 1603 14. , . : , g 15. -8... ....2008. www.biograf.ru. www.tonnel.ru.</p>