Find two consecutive numbers that cubes add up to 1,241

If the first of the two integers is , the next one is . So, the sum of their cubes are

So, we have the following equation:

By the rational root theorem, if this polynomial admits a rational root, it is a fraction where p divides 1240 and q divides 2 (i.e., q=1 or q=2). You'll have to go with a bit of trial and error here, because the standard formula for solving cubic equation is quite complicated.

Eventually, you'll arrive to p=8, q=1, and if you plug 8 into the equation you'll see that it is a solution. So, the two numbers are 8 and 9, in fact

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66answer:

step-by-step explanation:

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles