SOLUTION: When the sum of 514 and three times a positive number is subtracted from the square of the number, the result is 84. Find the number.
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Question 655238: When the sum of 514 and three times a positive number is subtracted from the square of the number, the result is 84. Find the number.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
When the sum of 514 and three times a positive number is subtracted from the square of the number, the result is 84. Find the number.
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let x=the positive number
x^2-(514+3x)=84
x^2-514-3x=84
x^2-3x-598=0
factor or solve by quadratic formula
(x+23)(x-26)=0
x=-23(reject)
or
x=26
number=26
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