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Kate0505 Kate0505
  • 09-08-2016
  • Mathematics
Answered

x^4 + x^3 + x^2 + x=0

x 4 + x 3 + x 2 + x=0 class=

Verified Answer :

dalendrk
dalendrk dalendrk
  • 09-08-2016

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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