SOLUTION: 1. The sum of thrice a positive number and 4 less than the square of the number, when divided by 4 more than the number, yields a quotient of 6. What is the number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 1. The sum of thrice a positive number and 4 less than the square of the number, when divided by 4 more than the number, yields a quotient of 6. What is the number?       Log On

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Question 1115458: 1. The sum of thrice a positive number and 4 less than the square of the number, when divided by 4 more than the
number, yields a quotient of 6. What is the number?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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The sum of thrice a positive number and 4 less than the square of the number, when divided by 4 more than the
number, yields a quotient of 6.
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%283x%2B%28x%5E2-4%29%29%2F%28x%2B4%29=6
This should be uncomplicated to solve. You are asked for the positive result.
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x%5E2-4%2B3x=6%28x%2B4%29
x%5E2%2B3x-4=6x%2B24
x%5E2-3x-28=0
%28x%2B4%29%28x-7%29=0

highlight%28x=7%29


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Also notice that the original equation is undefined for x at -4.