SOLUTION: The sum of two consecutive integers is 19 less than their product. Find the integers
Algebra.Com
Question 257422: The sum of two consecutive integers is 19 less than their product. Find the integers
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of two consecutive integers is 19 less than their product. Find the integers
.
Let x = first of two consecutive integers
then
x+1 = second of two consecutive integers
.
x + x+1 = x(x+1) - 19
2x+1 = x^2 + x - 19
1 = x^2 - x - 19
0 = x^2 - x - 20
0 = (x-5)(x+4)
x = {-4, 5}
.
Two possible answers
5 and 6
.
Or,
-4 and -3
RELATED QUESTIONS
The product of two consecutive integers is 19 more than their sum. Find the... (answered by aditya2117)
the sum of two consecutive even integers is 34 less than their product. find the... (answered by ewatrrr)
Product of two consecutive integers is 6 less than 6 times their sum. Find the... (answered by RAY100)
The product of two consecutive integers is 19 more than their sum. Find the integers.... (answered by Boreal)
Please help me solve this equation the sum of two consecutive integers is 19 less than... (answered by ewatrrr)
The sum of two consecutive integers is 19 less than their product. Find the integers. Can (answered by Gogonati)
Can someone please help me sum of two consecutive integers is 19 less than their product. (answered by MathLover1)
The sum of two consecutive even integers is ten less than twice their product. Find their (answered by nerdybill)
The product of two consecutive positive integers is 19 more than the sum. Find the... (answered by josgarithmetic)