3 years ago

How many complex zeros does the function x^8+3x^2-4

Mathematics

1 answer:

butalik [34]3 years ago

4 0

Answer:

Step-by-step explanation:

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solve for the polynomial equation by factoring, then using the zero product principle. This is just the example problem Please e

Vaselesa [24]

Answer:

-3 comes from combining 1 and -4

Step-by-step explanation:

The -3 under the radical is the result of combining the terms

16 -4(16) = 16(1 -4) = 16(-3) = -3(16)

16 is factored out. It is done this way because 16 is a perfect square factor, so wants to maintain that identity while you figure out the rest of the radical.

$=\dfrac{-4\pm\sqrt{16-4(16)}}{2}=\dfrac{-4\pm\sqrt{16(1-4)}}{2}=\dfrac{-4\pm\sqrt{-3(16)}}{2}\\\\=\dfrac{-4\pm\sqrt{-3(4^2)}}{2}=\dfrac{-4\pm 4\sqrt{-3}}{2}=-2\pm2\sqrt{-3}=-2\pm2i\sqrt{3}$