SOLUTION: Please help me solve this problem: Find two consecutive positive integers such that the sum of their sraures is 85.

Question 107287: Please help me solve this problem: Find two consecutive positive integers such that the sum of their sraures is 85.
Answer by Annabelle1(69) (Show Source): You can put this solution on YOUR website!
did you mean sum of their squares?
if you did.....
let the first integer be x and the second (x+1)
sum of their square:

=
=
this is equal to 85
so we have

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=676 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, -7. Here's your graph:

if your only positive answer is six, the 2 consecutive numbers are 6 and 7

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