Question

Помогите решить номер с 3.38

Answer 1

1) -10х² + 3х + 1 = 0 | × (-1)
10х² - 3х - 1 = 0
D = 9 - 4 × 10 × (-1) = 9 + 40 = 49 > 0. 7.
х1 = 3 + 7 / 20 = 10/20 = 0,5.
х2 = 3 - 7 / 20 = -4/20 = -0,2.
Ответ : -0,2 ; 0,5.
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2) -3х² - 2х + 8 = 0 | × (-1)
3х² + 2х - 8 = 0
D = 4 - 4 × 3 × (-8) = 4 + 96 = 100 > 0. 10.
х1 = -2 + 10 / 6 = 8/6 = 4/3 = 1 ⅓.
х2 = -2 - 10 / 6 = -12/6 = -2.
Ответ : -2 ; 1 ⅓.
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3) 3х² + 6 + 11х = 0
3х² + 11х + 6 = 0
D = 121 - 4 × 3 × 6 = 49 > 0. 7.
х1 = -11 + 7 / 6 = -4/6 = -2/3.
х2 = -11 - 7 / 6 = -18/6 = -3.
Ответ : -2/3 ; -3.
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4) 15 + 17х - 4х² = 0
-4х² + 17х + 15 = 0 | × (-1)
4х² - 17х - 15 = 0
D = 289 - 4 × 4 × (-15) = 289 + 240 = 529 > 0. 23.
х1 = 17 + 23 / 8 = 40/8 = 5.
х2 = 17 - 23 / 8 = -6/8 = -0,75.
Ответ : -0,75 ; 5.
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