Wielomiany.
Rozwiaż równaniaa) x^2(5x-3)(x+1)=0b) 10x^3+ 25x^2 - 8x - 20 = 0.
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Rozwiaż równaniaa)
x^2(5x-3)(x+1)=0
x^2 * 5(x-3/5)(x+1)=0
x₁ = 0
x₂ = 3/5
x₃ = -1
b) 10x^3+ 25x^2 - 8x - 20 = 0.
10x^3+ 25x^2 - 8x - 20 = 0.
5x²(2x +5) - 4(2x + 5) = 0
(2x+5)(5x² - 4) = 0
2(x + 5/2)5(x² - 4/5) = 0
10(x + 5/2)(x² - 4/5) = 0
10*(x + 5/2)(x - 2/√5)(x + 2/√5)= 0
10*(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0
10(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0
x₁= -5/2
x₂= 2√5/5
x₃= -2√5/5
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Rozwiaż równania
a)
x^2(5x-3)(x+1)=0
x^2 * 5(x-3/5)(x+1)=0
x₁ = 0
x₂ = 3/5
x₃ = -1
b) 10x^3+ 25x^2 - 8x - 20 = 0.
10x^3+ 25x^2 - 8x - 20 = 0.
5x²(2x +5) - 4(2x + 5) = 0
(2x+5)(5x² - 4) = 0
2(x + 5/2)5(x² - 4/5) = 0
10(x + 5/2)(x² - 4/5) = 0
10*(x + 5/2)(x - 2/√5)(x + 2/√5)= 0
10*(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0
10*(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0
10(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0
x₁= -5/2
x₂= 2√5/5
x₃= -2√5/5
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