SOLUTION: If 5 is added to the square of an integer, the result is 4 less than 10 times that integer. Find the integer(s).

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Question 1128368: If 5 is added to the square of an integer, the result is 4 less than 10 times that integer. Find the integer(s).
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f 5 is added to the square of an integer, the result is 4 less than 10 times that integer.
Find the integer(s).
:
write just what it says
x^2 + 5 = 10x - 4
Arrange as a quadratic equation
x^2 - 10x + 5 + 4 = 0
x^2 - 10x + 9 = 0
factors easily to
(x-9)(x-1) = 0
Two solutions
x = 9
x = 1
:
You can check both solutions in the original equation

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n, the integer

n%5E2%2B5=10n-4---------the description

n%5E2-10n%2B9=0

%28n-1%29%28n-9%29=0

The integer is either 1 or 9.