Kate0505
Kate0505
10-08-2016
Mathematics
contestada
x^4 + x^3 + x^2 + x=0
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dalendrk
dalendrk
10-08-2016
x^4 + x^3 + x^2 + x = 0
x(x^3 + x^2 + x + 1) = 0
x[x^2(x + 1) + 1(x + 1)] = 0
x(x + 1)(x^2 + 1) = 0 ⇔ x = 0 or x + 1 = 0 or x^2 + 1 = 0
x = 0 or x = -1 or x^2 = -1 -false
Answer: x= 0 or x = -1.
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