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marinamira
@marinamira
August 2022
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IrkaShevko
Verified answer
8.
а) x1 + x2 = 5/3
x1*x2 = 2/3
б) x1 + x2 = -7/2
x1*x2 = -3/2
корни разных знаков, отрицательный корень по модулю больше, потому что сумма меньше 0
9.
ax² + bx + c = a(x-x1)(x-x2)
-2x² + x + 3 = -2(x+1)(x-1,5)
D = 1 + 24 = 25
x1 = (-1 - 5)/(-4) = 3/2
x2 = (-1 + 5)/(-4) = -1
1.
а) 3x² + 5x + 2 = 0
D = 25 - 24 = 1
x1 = (-5-1)/6 = -1
x2 = (-5 + 1)/6 = -2/3
б) x² - 2x - 1 = 0
D = 4 + 4 = 8
x1 = (2 - 2√2)/2 = 1 - √2
x2 = 1 + √2
в) 4x² - 12x + 9 = 0
D = 144 - 144 = 0
x = 12/8 = 3/2
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Answers & Comments
Verified answer
8.а) x1 + x2 = 5/3
x1*x2 = 2/3
б) x1 + x2 = -7/2
x1*x2 = -3/2
корни разных знаков, отрицательный корень по модулю больше, потому что сумма меньше 0
9.
ax² + bx + c = a(x-x1)(x-x2)
-2x² + x + 3 = -2(x+1)(x-1,5)
D = 1 + 24 = 25
x1 = (-1 - 5)/(-4) = 3/2
x2 = (-1 + 5)/(-4) = -1
1.
а) 3x² + 5x + 2 = 0
D = 25 - 24 = 1
x1 = (-5-1)/6 = -1
x2 = (-5 + 1)/6 = -2/3
б) x² - 2x - 1 = 0
D = 4 + 4 = 8
x1 = (2 - 2√2)/2 = 1 - √2
x2 = 1 + √2
в) 4x² - 12x + 9 = 0
D = 144 - 144 = 0
x = 12/8 = 3/2