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umka21 [38]
3 years ago
9

Factor: 2x^2 + 5x + 3​

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

2x²+5x+3=0

2x²+2x+3x+3=0

2x(x+1)+3(x+1)=0

(x+1)(2x+3)=0

x=-1,-3/2

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One number is five less than a second number. Five times the first is 15 more than 6 times the second. Find the numbers
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Answer:

x = -45, y = -40

Step-by-step explanation:

Based on the first clue, we find out that

x + 5 = y

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We can re-write the first equation to x = y - 5.

Therefore, the second equation can also be written as 5(y - 5) = 6y + 15

This can be simplified to 5y - 25 = 6y + 15

We can subtract 6y from each side, and add 25 to each side;

5y - 6y = 15 + 25

Therefore, -y = 40

Therefore y = -40.

Now let's plug this back into the original equation, to get : x  + 5 = -40

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