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2 January, 23:25

Solve for the roots in the equation below. x4 + 3x2 - 4 = 0

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  1. 2 January, 23:49
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    Step-1 : Multiply the coefficient of the first term by the constant 1 • - 4 = - 4

    Step-2 : Find two factors of - 4 whose sum equals the coefficient of the middle term, which is 3.

    -4 + 1 = - 3 - 2 + 2 = 0 - 1 + 4 = 3 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 1 and 4

    x4 - 1x2 + 4x2 - 4

    Step-4 : Add up the first 2 terms, pulling out like factors:

    x2 • (x2-1)

    Add up the last 2 terms, pulling out common factors:

    4 • (x2-1)

    Step-5 : Add up the four terms of step 4:

    (x2+4) • (x2-1)

    Which is the desired factorization
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