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Solve by factoring x^4+6x^2-27=0

User Mojgan
by
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1 Answer

5 votes

Answer:

Explanation:

x^4+6x^2-27=0

The two factors you need to use for 27 is 9 and 3.

Since the middle term must be plus then the 9 is also plus.

(x^2 + 9)(x^2 - 3)

x^2 + 9 can't be factored in the real number system.

x^2 - 3 = 0

(x + sqrt(3))(x^2 - sqrt(3))

The full factoring answer would be

(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))

User Stewart Ritchie
by
4.3k points