Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Solve the given expression for the sum of the two numbers:

which you can rewrite as

Now, we are given the product of the numbers (i.e. xy) to be 10, the sum of the squares of the numbers (i.e. ) to be 29, and the sum of the cubes of the numbers (i.e. ) to be 133.

If we plug these values in the formula written above, we have

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)