SOLUTION: The product of two consecutive integers is 5 more than three times the larger. Find the integers.

Question 849986: The product of two consecutive integers is 5 more than three times the larger. Find the integers.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The product of two consecutive integers is 5 more than three times the larger. Find the integers.
-
Equation:
x(x+1) = 3(x+1) + 5
-----
x^2 + x = 3x + 8
------
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
---
x = 4 or x = -2
If x = 4, x+1 = 5
If x = -2, x+1 = -1
========================
Cheers,
Stan H.
--------------
RELATED QUESTIONS
The product of two positive consecutive integers is 5 more than three times the larger.... (answered by mananth)

the product of two consecutive odd integers is fourteen more than three times the larger... (answered by TimothyLamb)

The product of two consecutive even integers is 24 more than 9 times the larger integers... (answered by CubeyThePenguin)

The product of two consecutive positive integers is 21 more than three times the larger... (answered by josgarithmetic)

The product of two consecutive positive integers is 32 more than three times the larger... (answered by CubeyThePenguin)

The product of two consecutive positive intergers is 27 more than 5 times the larger... (answered by CubeyThePenguin)

The product of two consecutive positive integers is 27 more than five times the larger... (answered by TimothyLamb)

the product of two consecutive positive integers is 52 more than 8 times the larger... (answered by hkwu)

The product of two consecutive positive integers is 22 more than eight times the larger... (answered by amarjeeth123)