SOLUTION: the product of two consecutive integers is 143. find their sum

Question 954937: the product of two consecutive integers is 143. find their sum
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
There is no solution for consecutive integers (the product of an odd and even number is always even), but solution using consecutive odd integers follows.The product of two consecutive odd integers is 143. find their sum
x=first integer; x+2=second integer
x(x+2)=143

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=576 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 11, -13. Here's your graph:

ANSWER 1: The first odd integer is 11
x+2=11+2=13 ANSWER 2: The second odd integer is 13.
ANSWER 11+13=24 The sum of the two integers is 24.
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