3 years ago

Select the correct answer.

Mathematics

1 answer:

Karolina [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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(x-1)(x-3)(x+5)(x+7)=297

mihalych1998 [28]

First simplify the expression into polynomial form,

$(x-1)(x-3)(x+5)(x+7)=297$

$x^4+8x^3-10x^2-104x+105=297$

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Now factor into,

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Which means the solutions are,

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and then two complex solutions because determinant of the third factor $D\lt0$ ,

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$x^2+4x+4=-2$

$(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}$

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