In 2000 B.C., the Babylonians solved polynomial equations by referring to tables of values. One such table
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Then they would find (a2c)/b3 in the y3 + y2 column of the table. They knew that the corresponding y-value was equal to (ax)/b, so they could conclude that x = (by)/a.
(a) Calculate y3 + y2 for y = 1, 2, 3, . . . , 10. Record the values in a table.
(b) Use the table from part (a) and the method above to solve each equation.
(i) x3 + x2 = 252
(ii) x3 + 2x2 = 288
(iii) 3x3 + x2 = 90
(iv) 2x3 + 5x2 = 2500
(v) 7x3 + 6x2 = 1728
(vi) 10x3 + 3x2 = 297
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