Answer:

Let the first positive integer be x.Then, the second integer will be x + 2. According to the question,

x²(x + 2)² = 290

x² + x² + 4x + 4 = 290

2x² + 4x - 286 = 0

x² + 2x - 143 = 0

which is a quadratic equation in x.

x = or x= -13

But x is given to be positive odd integer.Therefore,x≠ -13

Thus, the two consecutive odd integers are and (x+2)=+2=.

Check:²+² = 121 + 169 = 290.