SOLUTION: If a number is added to two times its square, the result is thirty-six. Find all such numbers.

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Question 378413: If a number is added to two times its square, the result is thirty-six. Find all such numbers.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number. Then is the square of the number and is two times the square of the number. We are told that:



Add to both sides.



Factor and solve the quadratic for the two values of that comprise the solution set.

John

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