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What are the roots of 3x^4-21x^2+18

User Reneemarie
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1 Answer

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Answer:

{-√6, -1, 1, √6}

Explanation:

You want the roots of the quartic 3x^4-21x^2+18.

Factors

We can find the roots by factoring to linear factors:

= 3(x^4 -7x^2 +6)

= 3(x^2 -6)(x^2 -1) . . . . . . . 6 = (-1)(-6) are factors with a sum of -7

= 3(x -√6)(x +√6)(x -1)(x +1) . . . . . a^2 -b^2 = (a -b)(a +b)

The roots of the quartic are ±√6 and ±1.

What are the roots of 3x^4-21x^2+18-example-1
User Fal
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