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DaniilM [7]
3 years ago
11

If 3 times a square of an integer is added to 1 times the integer, the result is 2

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0
Let unknown integer be n.

So then your sentence would translate to 3n² + n = 2.

If you need to solve for n then we can move 2 to left side by subtract both sides by 2:

3n² + n - 2 = 0

Now you can factor:

3n² + 3n -2n - 2 = 0

3n( n + 1 ) - 2( n + 1 ) = 0

( 3n - 2 )( n + 1 ) = 0

3n - 2 = 0   OR   n + 1 = 0

3n = 2   OR   n = -1

n = 2/3   OR   n = -1


Final answer: n = 2/3   OR   n = -1
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