Determine the square root of $x^{4} - 6 x^{3} + 19 x^{3} - 30 x + 25$

x^{2} - 1

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x^{2} - 2 x + 42

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x^{2} - 3 x + 5

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5 - 3 x + 21 x^{2}

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Solution

The correct option is C $x^{2} - 3 x + 5$
First, write the polynomial in ascending powers of x and find square root.

Hence, the square root of the polynomial is $\to x^{2} - 3 x + 5$

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x^{4} - 6 x^{3} + 19 x^{2} - 30 x + 25

x^{4} - 6 x^{3} + 19 x^{2} - 30 x + 25

x^{4} + 6 x^{3} + 17 x^{2} + 24 x + 16

x^{2} + 3 x + 4

x^{4} - 6 x^{3} + 18 x^{2} - 30 x + 25 = 0

α \pm i β

β \pm i α

(α, β) =

x^{4} + 2 x^{2} y^{2} + y^{4}

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