SOLUTION: If the difference between the square of a positive integer and the integer before it is 33, what is the integer?

Question 1103856: If the difference between the square of a positive integer and the integer before it is 33, what is the integer?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the difference between the square of a positive integer and the integer before it, is 31, what is the integer?
:
x^2 - (x-1) = 31
x^2 - x + 1` = 31
x^2 - x + 1 - 31 = 0
x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0
The positive solution
x = 6 is the integer
:
;
See if that works 6^2 - 5 = 31
RELATED QUESTIONS
pls. help me to anwer:if the difference between the square of a positive integers and the (answered by josgarithmetic,ikleyn,greenestamps)

The difference between 65 and a positive integer is equal to four times the integer (answered by richwmiller)

If twice the square of a positive integer is 12 more than 10 times that integer, what is... (answered by rmromero)

the difference between 48 and a positive integer is equal to five times the interger.... (answered by checkley77)

The difference between an integer and its square root is 110, what is the integer? (answered by stanbon)

If a positive integer is doubled and then increased by 10, the result is 5 less than the... (answered by wilft1)

Twice the square of a positive integer is 35 more than 9 times that integer. What is the... (answered by jim_thompson5910)

Twice the square of a positive integer is 12 more than 10 times that integer. What is the (answered by edjones)

if the square of a positive integer is added to three times the integer is added to three (answered by ankor@dixie-net.com)