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devlian [24]
4 years ago
6

I need help with the last two

Mathematics
1 answer:
Luba_88 [7]4 years ago
3 0
.07 is what I believe the answer is
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Answer:

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tankabanditka [31]

Answer:

1/5 + 2/5 i sqrt(6) = .2 + .98i

1/5 - 2/5 i sqrt(6) = .2 - .98i

Step-by-step explanation:

5z^2−9z=−7z−5

We need to get all the terms on one side (set the right side equal to zero)

Add 7z to each side

5z^2−9z+7z=−7z+7z−5

5z^2−2z=−5

Add 5 to each side

5z^2−2z+5=−5 +5

5z^2−2z+5=0

This is in the form

az^2 +bz+c = 0 so we can use the quadratic formula

where a = 5   b = -2  and c = 5

-b± sqrt(b^2-4ac)

-------------------------

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-(-2)± sqrt((-2)^2-4(5)5)

-------------------------

  2(5)

2± sqrt(4-100)

-------------------------

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2± sqrt(-96)

-------------------------

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2± sqrt(16)sqrt(-1) sqrt(6)

-------------------------

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2± 4i sqrt(6)

-------------------------

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1/5 ± 2/5 i sqrt(6)

Splitting the ±

1/5 + 2/5 i sqrt(6) = .2 + .98i

1/5 - 2/5 i sqrt(6) = .2 - .98i


3 0
4 years ago
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