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marinasherstob
@marinasherstob
July 2022
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Решите уравнение : 2x^4+5x^3-5x-2=0
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Answers & Comments
dimanchyck2000
2x^4 + 5x³ - 5x -2 = 0
2(x⁴-1) + 5x(x²-1) = 0
2(x²-1)(x²+1) + 5x(x²-1) = 0
(2(x²+1) + 5x)(x²-1) = 0
(2x² + 5x + 2)(x²-1) = 0
x² - 1 = 0 x = 1; x = -1
2x²+5x +2 = 0
x1 = -2; x2 = 0,5
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Answers & Comments
2(x⁴-1) + 5x(x²-1) = 0
2(x²-1)(x²+1) + 5x(x²-1) = 0
(2(x²+1) + 5x)(x²-1) = 0
(2x² + 5x + 2)(x²-1) = 0
x² - 1 = 0 x = 1; x = -1
2x²+5x +2 = 0
x1 = -2; x2 = 0,5