SOLUTION: Write a quadratic equation and solve Two consecutive integers have a product that is 14 less than ten times the smaller integer. Find the integers

Question 1027955: Write a quadratic equation and solve
Two consecutive integers have a product that is 14 less than ten times the smaller integer. Find the integers
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
x and x+1;

Some algebra steps

x must give TWO CONSECUTIVE INTEGERS, according to the description.

The steps there give x=2 and x+1=3.
The steps also there give x=7 and x+1=8.
Those are two different answers. Do both of them work, or does only one of them work?
Test using the original equation.

CHECKING

next combination

They both work.
-
-
The numbers are either 2 and 3 ; or they are 7 and 8.
RELATED QUESTIONS
Find all sets of two consecutive integers such that their product is eight less than ten... (answered by josgarithmetic)

Translate into an algebraic equation and solve: Find two consecutive even integers such... (answered by mananth)

Find two consecutive integers that ten more than twice the smaller is seven less than... (answered by MathLover1)

Find two consecutive integers such that ten more twice the smaller is seven less than... (answered by josgarithmetic)

Find three consecutive integers such that the square of the largest is 22 more than the... (answered by josgarithmetic,ikleyn)

Write the following as a quadratic equation, Two consecutive odd integers have a product... (answered by graphmatics)

find three consecutive integers such that the product of the two smaller inters is 2 more (answered by EMStelley)

find three consecutive integers such that the product of the two smaller inters is 2 more (answered by Earlsdon)

Write a quadratic equation and solve Find two integers such that the first is 2 more... (answered by mananth)