Теорема, обратная теореме Виета

Март 10, 2021

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Теорема, обратная теореме Виета

Содержание

2. x2+5⋅x - 24=0. p =5; q = -24 x1+x2 = -5 x1⋅x2=-24 309167.xyz
3. x2+5⋅x - 24=0. 1 -24 2 -12 3 -8 4 -6 p =5; q = -24
4. x2+14⋅x + 24=0. p =-14; q = 24 x1+x2 = -14 x1⋅x2=24 309167.xyz
5. x2+14⋅x + 24=0. -1 -24 -2 -12 -3 -8 -4 -6 p =5; q = -24
6. x2-11⋅x + 24=0. p =11; q = 24 x1+x2 = 11 x1⋅x2=24 309167.xyz
7. X2-11⋅x + 24=0. 1 24 2 12 3 8 4 6 p =5; q = -24
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Слайд 2

x2+5⋅x - 24=0.
p =5; q = -24
x1+x2 = -5
x1⋅x2=-24
309167.xyz

x2+5⋅x - 24=0. p =5; q = -24 x1+x2 = -5 x1⋅x2=-24 309167.xyz

Слайд 3

x2+5⋅x - 24=0.
1 -24
2 -12
3 -8
4 -6
p =5; q = -24
x1+x2 = -5 x1⋅x2=-24
значит
x1=−8; x2=3
Ответ:

x2+5⋅x - 24=0. 1 -24 2 -12 3 -8 4 -6 p

−8; 3

309167.xyz

Слайд 4

x2+14⋅x + 24=0.
p =-14; q = 24
x1+x2 = -14
x1⋅x2=24
309167.xyz

x2+14⋅x + 24=0. p =-14; q = 24 x1+x2 = -14 x1⋅x2=24 309167.xyz

Слайд 5

x2+14⋅x + 24=0.
-1 -24
-2 -12
-3 -8
-4 -6
p =5; q = -24
x1+x2 = -14 x1⋅x2=24
значит
x1=−12; x2=-2
Ответ:

x2+14⋅x + 24=0. -1 -24 -2 -12 -3 -8 -4 -6 p

−12; -2

309167.xyz

Слайд 6

x2-11⋅x + 24=0.
p =11; q = 24
x1+x2 = 11
x1⋅x2=24
309167.xyz

x2-11⋅x + 24=0. p =11; q = 24 x1+x2 = 11 x1⋅x2=24 309167.xyz

Слайд 7

X2-11⋅x + 24=0.
1 24
2 12
3 8
4 6
p =5; q = -24
x1+x2 =

X2-11⋅x + 24=0. 1 24 2 12 3 8 4 6 p

11 x1⋅x2=24

значит
x1=3 ; x2=8

Ответ: 3; 8

309167.xyz