Quadratics Expansions

Algebra Level 3

x 4 − 2 x 2 − 3 x 2 + 6 x 2 − 2 x − 3 x + 6 = 0 \frac{x^4 - 2x^2 - 3x^2 +6}{x^2 - \sqrt{2}x - \sqrt{3}x +\sqrt{6}} = 0

Solve this expression for roots of variable x . x.

\sqrt{3} , \sqrt{2}
  • \sqrt{3} , \sqrt{2}
\sqrt{3} , - \sqrt{2} -\sqrt{3} , - \sqrt{2}

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2 solutions

William Isoroku
Dec 30, 2014

Leave it to the graphing calculator.

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Arshad R Shaikh
Jul 29, 2014

by calculating 

                   x=\sqrt{3}, -\sqrt{3}, \sqrt{2}, -\sqrt{2}
but this expansion is not define for \sqrt{3} and \sqrt{2}

so right answer is -\sqrt{3}, -\sqrt{2}

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