mikebramblett56 mikebramblett56
  • 23-05-2016
  • Mathematics
contestada

What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.

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W0lf93
W0lf93 W0lf93
  • 13-05-2017
To get the solutions to the equation x^6 + 6x^3 + 5 = 0 using factoring. Expanding x^6 + 6x^3 + 5 = 0 gives x^6 + x^3 + 5x^3 + 5 = 0, Factoring x^6 + x^3 + 5x^3 + 5 = 0 gives x^3(x^3 + 1) + 5(x^3 + 1) = 0, Grouping x^3(x^3 + 1) + 5(x^3 + 1) = 0 gives (x^3 + 5)(x^3 + 1) = 0 Solving (x^3 + 5)(x^3 + 1) = 0 gives x^3 + 5 = 0 or x^3 + 1 = 0 x^3 = -5 or x^3 = -1 x = cube root of -5 or x = cube root of -1 x = -1.71 or x = -1
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