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12-73.
  1. If a tile pattern can be described by the equation y = (x − 1)(x + 1) + x + 2, where x represents the figure number and y represents the number of tiles, find each of the following. Homework Help ✎

    1. The number of tiles in Figure 307.

    2. The number of the figure that contains 169,333 tiles.

Substitute 307 into the equation for x.

y = ( 307 − 1 )( 307 + 1 ) + 307 + 2

Solve for y.

y = 94,557

Set y = 169,333.

169,333 = ( x − 1 )( x + 1 ) + x + 2

Solve for x.