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cergey221
@cergey221
July 2022
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номер 5 решите плиз. завтра кр
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drakerton
Видимо тут нужно применять теорему Виета:
x² + px + q = 0
5.1
a) -p = x₁ + x₂ = 1+ (-5) = 1 - 5 = -4
q = x₁ * x₂ = 1 * (-5) = -5
Уравнение: x² + 4x - 5
б) -p = x₁ + x₂ = 2+ 7 = 9
q = x₁ * x₂ = 2 * 7 = 14
Уравнение: x² - 9x + 14 = 0
в) -p = x₁ + x₂ = -3+ (-11) = -3 -11 = -14
q = x₁ * x₂ = (-3) * (-11) = 33
Уравнение: x² + 14x + 33 = 0
г) -p = x₁ + x₂ = 17+ (-1) = 17 -1 = 16
q = x₁ * x₂ = (17) * (-1) = -17
Уравнение: x² -16x - 17 = 0
д) -p = x₁ + x₂ =
+ (
) =
= 0
q = x₁ * x₂ =
* (
) = -3
Уравнение: x² + 0x - 3 = 0 или x² - 3 = 0
е) -p = x₁ + x₂ = 0+ (-3) = 0 -3 = -3
q = x₁ * x₂ = 0 * (-3) = 0
Уравнение: x² + 3x + 0 = 0 или x² + 3x = 0
ж) -p = x₁ + x₂ = 2 + 2 = 4
q = x₁ * x₂ = (2) * (2) = 4
Уравнение: x² - 4x +4 = 0
5.2.
a) -p = x₁ + x₂ = 1+ 7 = 8
q = x₁ * x₂ = 1 * 7 = 7
Уравнение: x² - 8x + 7
б) -p = x₁ + x₂ = 2+ (-5) = 2 - 5 = -3
q = x₁ * x₂ = 2 * (-5) = -10
Уравнение: x² + 3x - 10 = 0
в) -p = x₁ + x₂ = 11 + (-4) = 11 - 4 = 7
q = x₁ * x₂ = 11 * (-4) = -44
Уравнение: x² - 7x - 44 = 0
г) -p = x₁ + x₂ = -13 + 1 = -12
q = x₁ * x₂ = (-13) * 1 = -13
Уравнение: x² + 12x - 13 = 0
д) -p = x₁ + x₂ =
+
=0
q = x₁ * x₂ =
* (
) = -5
Уравнение: x² + 0x - 5 = 0 или x² - 5 = 0
е) -p = x₁ + x₂ = 2 + 0 = 2
q = x₁ * x₂ = 2 * 0 = 0
Уравнение: x² -2x + 0 = 0 или x² - 2x = 0
ж) -p = x₁ + x₂ = -3 + (-3) = -3 - 3 = -6
q = x₁ * x₂ = (-3) * (-3) = 9
Уравнение: x² + 6x + 9 = 0
Удачи!
3 votes
Thanks 0
cergey221
спасибо
drakerton
)))
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Answers & Comments
x² + px + q = 0
5.1
a) -p = x₁ + x₂ = 1+ (-5) = 1 - 5 = -4
q = x₁ * x₂ = 1 * (-5) = -5
Уравнение: x² + 4x - 5
б) -p = x₁ + x₂ = 2+ 7 = 9
q = x₁ * x₂ = 2 * 7 = 14
Уравнение: x² - 9x + 14 = 0
в) -p = x₁ + x₂ = -3+ (-11) = -3 -11 = -14
q = x₁ * x₂ = (-3) * (-11) = 33
Уравнение: x² + 14x + 33 = 0
г) -p = x₁ + x₂ = 17+ (-1) = 17 -1 = 16
q = x₁ * x₂ = (17) * (-1) = -17
Уравнение: x² -16x - 17 = 0
д) -p = x₁ + x₂ = + () = = 0
q = x₁ * x₂ = * () = -3
Уравнение: x² + 0x - 3 = 0 или x² - 3 = 0
е) -p = x₁ + x₂ = 0+ (-3) = 0 -3 = -3
q = x₁ * x₂ = 0 * (-3) = 0
Уравнение: x² + 3x + 0 = 0 или x² + 3x = 0
ж) -p = x₁ + x₂ = 2 + 2 = 4
q = x₁ * x₂ = (2) * (2) = 4
Уравнение: x² - 4x +4 = 0
5.2.
a) -p = x₁ + x₂ = 1+ 7 = 8
q = x₁ * x₂ = 1 * 7 = 7
Уравнение: x² - 8x + 7
б) -p = x₁ + x₂ = 2+ (-5) = 2 - 5 = -3
q = x₁ * x₂ = 2 * (-5) = -10
Уравнение: x² + 3x - 10 = 0
в) -p = x₁ + x₂ = 11 + (-4) = 11 - 4 = 7
q = x₁ * x₂ = 11 * (-4) = -44
Уравнение: x² - 7x - 44 = 0
г) -p = x₁ + x₂ = -13 + 1 = -12
q = x₁ * x₂ = (-13) * 1 = -13
Уравнение: x² + 12x - 13 = 0
д) -p = x₁ + x₂ = + =0
q = x₁ * x₂ = * () = -5
Уравнение: x² + 0x - 5 = 0 или x² - 5 = 0
е) -p = x₁ + x₂ = 2 + 0 = 2
q = x₁ * x₂ = 2 * 0 = 0
Уравнение: x² -2x + 0 = 0 или x² - 2x = 0
ж) -p = x₁ + x₂ = -3 + (-3) = -3 - 3 = -6
q = x₁ * x₂ = (-3) * (-3) = 9
Уравнение: x² + 6x + 9 = 0
Удачи!