SOLUTION: what does this mean: find two consecutive numbers with a product of 210?

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Question 242432: what does this mean: find two consecutive numbers with a product of 210?
Found 2 solutions by stanbon, JimboP1977:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what does this mean: find two consecutive numbers with a product of 210?
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1st number: x
2nd number: x+1
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Equation:
x(x+1) = 210
x^2 + x - 210 = 0
(x-14)(x+15) = 0
x = 14 or x = -15
=========================
Two possible solutions:
x = 14
x+1 = 15
---
OR
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x = -15
x+1 = -14
=================
Cheers,
stan H.

Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
well consecutive means one after another or following each other.
The product of two numbers is just another way of saying two numbers multiplied together.
Does that help?
Let x = a number
let x+1 = the next number
x times by x+1 = 210
x%2Ax%2Bx+=+210
x%5E2%2Bx=210
%28x%2B%281%2F2%29%29%5E2+-+%281%2F2%29%5E2+=+210 (called completing the square)
%28x%2B%281%2F2%29%29%5E2+=+210%2B1%2F4
x+=+sqrt+%28210%2B1%2F4%29+-+1%2F2+
x+=+14
so the two numbers are 14 and 15. Check the answer by multiply both together to give 210.
Do you understand it?