SOLUTION: if the square of a positive integer is added to 3 times the integer, the result is 154. What is the integer?

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Question 1009086: if the square of a positive integer is added to 3 times the integer, the result is 154. What is the integer?
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if the square of a positive integer is added to 3 times the integer, the result is 154. What is the integer?
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Equation:
x^2 + 3x = 154
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x^2 + 3x - 154 = 0
Factor::
(x-11)(x+14) = 0
Positive solution::
x = 11
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Cheers,
Stan H.
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Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x, the integer;
x%5E2%2B3x=154

x%5E2%2B3x-154=0


154=2*77=2*7*11=14*11

%28x-11%29%28x%2B14%29=0

The POSITIVE integer is highlight%28x=11%29.