4 years ago

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

Mathematics

1 answer:

gogolik [260]4 years ago

4 0

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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