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Alex73 [517]
4 years ago
12

The product of some negative number and 5 less than three times that number is 12. Find the number.

Mathematics
1 answer:
miv72 [106K]4 years ago
4 0
(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!
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Elena L [17]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

c < 2

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

c+6>5c - 2\\--------------\\\\\rightarrow5c - 2< c + 6 \leftarrow \text{Notice how the sides are switched.}\\\\\rightarrow 5c - c -2 < c - c + 6\\\\\rightarrow 4c -2 < 6\\\\\rightarrow 4c - 2 + 2 < 6 + 2\\\\\rightarrow 4c  < 8\\\\\rightarrow \frac{4c

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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3 years ago
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