SOLUTION: Find two consecutive numbers such that if twice the larger is added to four times the square of the smaller. The sum will be 112.

Question 83666: Find two consecutive numbers such that if twice the larger is added to four times the square of the smaller. The sum will be 112.
Answer by Mona27(45) (Show Source): You can put this solution on YOUR website!
First you give a name to the two consecutive numbers to make things easier:
If you call the first one x, then the next one is x+1.
If twice the larger is added to four times the square of the smaller, the sum will be 112.

Subtracting 2 from both sides:

You can divide through by 2:

Now rearrange your equation to look something like this:

Factorising:

So this gives either x=-5.5 or x=5
the first number is rejected so we'll take the second.
So your two numbers are: 5 & 6
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