20lvanhi 20lvanhi
  • 14-06-2019
  • Mathematics
contestada

Solve the equation x4 – 26x2 + 25 = 0 in the real number system.

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Аноним Аноним
  • 14-06-2019

Answer:

x = -1, 1, -5 , 5.

Step-by-step explanation:

x4 – 26x2 + 25 = 0

Factoring:

(x^2 - 25)(x^2 - 1) = 0

So x^2 - 25 = 0 gives x^2 = 25 and x = +/- 5.

x^2 - 1  gives  x^2 = 1 and x = +/- 1.

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