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Zielflug [23.3K]
3 years ago
8

PLS help me ASAP i will give thanks and 5 stars and please make sure to show your work

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

2. 4.57÷3=1.523

3. 6.45÷5=1.29

7. 80÷1.5=53.3

8. 46.483÷0.2=232.415

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Solve for x in the equation x2-8x+41=0
Alinara [238K]

Answer:

d) 4 ± 5i

Step-by-step explanation:

Here we have to use the quadratic formula.

x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

In the given equation x^2 - 8x + 41 = 0, a =1, b = -8 and c = 41

Now plug in the given values in the above formula, we get

x = \frac{-(-8) +/- \sqrt{(-8)^2 - 4*1*41} }{2*1}

Simplifying the above, we get

x = \frac{8 +/- \sqrt{64 - 164} }{2}

x = \frac{8 +/- \sqrt{-100} }{2}

[√-100 = √-1 *√100 = i*10 = 10i] because the value of √-1 = i]

x = (8 ± 10i )/2

Now dividing by 2, we get

x = 4 ± 5i

The answer is d) 4 ± 5i

Hope you will understand the concept.

Thank you.

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