Hello i don't know how to do this problem ... plesae help me out ... thanks

determine the smallest positive integers, n , which satisfies the equation

n³ + 2n² = b

where b is the square of an odd integer

i thoguht about replacing b by x² , and move the x² to the left side, then i'm kinda stuck ... please show me ...

thank you very much !

david

If you replace b by x² then you can write the equation as

From this equation you can see that n + 2 is a square and hence n must be 2 less than a square.