SOLUTION: One positive number is three more than twice a number that the product equals 1430.what are the numbers?

Question 1008465: One positive number is three more than twice a number that the product equals 1430.what are the numbers?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
THE UNEXPECTED WAY TO SOLVE IT:
The prime factorization of is
.
Because there are prime factors, each with an exponent of ,
the number of possible factors of is
.
That makes factor pairs:
,
,
,
,
,
,
, and
.
The first six pairs have factors that are too far apart to be solutions.
so and are not the two factors.
, so are the two numbers.

THE EXPECTED WAY TO SOLVE IT:
= the smallest positive number mentioned first
= the second number = three more than twice the first number
= the product of the two numbers
<--><-->
You can solve the quadratic equation above by the method of your choice
("completing the square", factoring, or using the quadratic formula),
and you get the solutions .
Factoring:
-->-->-->-->-->
Since the first number mentioned was a positive number,
the solution is --->--->
Using the quadratic formula,
which says that the solutions to
are given by :
In this case , , ans , so

--->
Completing the square:

-->-->-->
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