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Ksenya-84 [330]
3 years ago
7

Which quadratic equation has roots-8 + 3i and -8 - 3i?

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

The two roots are

\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73

Hence the answer is D.

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Answer:

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Step-by-step explanation:

The point-slope form of an equation of a line:

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m=\dfrac{2-4}{7-6}=\dfrac{-2}{1}=-2

Using the first point

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Using the second point

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Step-by-step explanation:

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