Question 741096: a floor can be covered with 1,728 small square tiles. if tiles 2 inches longer on each side are used, the floor can be covered with 432 tiles. find the length of each side of the smaller tile.
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! x = side length of the smaller tile
1728*x^2 represents the area of this floor.
The other tile sized at x+2, covered that same area and this area expressible as 432*(x+2)^2 using these larger tiles.
Same area!  .
Find x.
Plenty of ways to make mistakes in solving that equation. Misfactoring, transposing an incorrect number, sign mistake,...
 , factorable, but,....
 , direct use of quadratic formula solution
For factoring starting from the simplified quadratic equation,
Take the positive root,  .
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