2 years ago

Please help math question WILL MARK AS BRAINLIEST IF CAN PLEASE HELP!!

Mathematics

1 answer:

alukav5142 [94]2 years ago

4 0

Answer:

Step-by-step explanation:

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What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

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ANSWER

$x = \: x = \pm \: \sqrt{2} i \: or \: x = \pm \: i$

EXPLANATION

${x}^{4} + 3 {x}^{2} + 2 = 0$

${ ({x}^{2}) }^{2} + 3( {x}^{2}) + 2 = 0$

Let

$u = {x}^{2}$

Then the equation becomes:

${u}^{2} + 3u + 2 = 0$

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Factor:

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$u = - 1$

$u = - 2$

This implies that

${x}^{2} = - 1 \implies \: x = \pm \: i$

${x}^{2} = - 2 \implies \: x = \pm \: \sqrt{2} i$

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