Find the square root of -x4 - 4x3 - 10x2 - - 12x - 9

√(x^4 4x^3+10x^2 12x+9) √(x^4 4x^3+4x^2+6x^2 12x+9) √((x^2 2x)^2+6(x^2 2x)+9) √((x^2 2x+3)^2) x^2 2x+3 ...

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Complex Numbers

Find the squa...

Question

Find the square root of $\sqrt{x^{4} - 4 x^{3} + 10 x^{2} + - 12 x + 9}$

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Solution

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x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9

x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9.

x^{4} - 4 x^{3} + 10 x^{2} - a x + b

a

b

x^{4} + 4 x^{3} - 2 x^{2} - 12 x + 9 = 0

a

b

x^{4} - 4 x^{3} + 10 x^{2} - a x + b

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