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Dimonchikjot874
@Dimonchikjot874
November 2021
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100 Баллов!!!!!!!!!!!!!!!!
Все задания, кроме 3!
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IrkaShevko
Verified answer
1. 2(x+1) + (x+1)² - 1 + 2(x-1) + (x-1)² - 1 = x²
2x + 2 + x² + 2x + 1 - 1 + 2x - 2 + x² - 2x + 1 - 1 = x²
x² + 4x = 0
x(x+4) = 0
x₁ = 0
x₂ = -4
2.
a = 5k + 3
2(5k + 3)² - 5(5k + 3) + 4 = 50k² + 60k + 18 - 25k - 15 + 4 = 50k² + 35k + 5 + 2 = 5(10k² + 7k + 1) + 2 = 5m + 2 => остаток 2
Ответ: 2
4.
x(1 + p) = 2
x = 2/(1+p)
a)
1) 1 + р = 1
р = 0
2) 1+ р = 2
р = 1
3) 1 + р = -1
р = -2
4) 1 + р = -2
р = -3
Ответ: -3; -2; 0; 1
б) Ответ: 0; 1
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Answers & Comments
Verified answer
1. 2(x+1) + (x+1)² - 1 + 2(x-1) + (x-1)² - 1 = x²2x + 2 + x² + 2x + 1 - 1 + 2x - 2 + x² - 2x + 1 - 1 = x²
x² + 4x = 0
x(x+4) = 0
x₁ = 0
x₂ = -4
2.
a = 5k + 3
2(5k + 3)² - 5(5k + 3) + 4 = 50k² + 60k + 18 - 25k - 15 + 4 = 50k² + 35k + 5 + 2 = 5(10k² + 7k + 1) + 2 = 5m + 2 => остаток 2
Ответ: 2
4.
x(1 + p) = 2
x = 2/(1+p)
a)
1) 1 + р = 1
р = 0
2) 1+ р = 2
р = 1
3) 1 + р = -1
р = -2
4) 1 + р = -2
р = -3
Ответ: -3; -2; 0; 1
б) Ответ: 0; 1