SOLUTION: divide 12 into two partssuch that sum of thier squares is > than twice thier product by 4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: divide 12 into two partssuch that sum of thier squares is > than twice thier product by 4      Log On


   

Question 256432: divide 12 into two partssuch that sum of thier squares is > than twice thier product by 4
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent one of the parts. Then must be the other part.

The sum of the squares of the parts:



Twice the product plus 4:



These quantities are equal, so:



Collect like terms:



Eliminate common factor of 4:



Solve the easily factorable quadratic. One of the roots will be one of the parts and the other will be the other part.


John