SOLUTION: 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 s

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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