Question

X3+y3+z3=k this would be appreciated if someone could help I've had 4 tutors who weren't able to help, thank you.x=80538738812075974y=80435758145817515z=12602123297335631

Answer 1

The question is given to be:

$x^3+y^3+z^3=k$

The values for x, y, and z are given below:

$\begin{gathered} x=80538738812075974 \\ y=80435758145817515 \\ z=12602123297335631 \end{gathered}$

Therefore, we can substitute the values into the equation as shown below:

$80538738812075974^3+80435758145817515^3+12602123297335631^3=k$

Using a big number calculator, we can calculate the values of the cubic exponents of the numbers to be:

$\begin{gathered} 80538738812075974^3=522,413,599,036,979,150,280,966,144,853,653,247,149,764,362,110,424 \\ 80435758145817515^3=520,412,211,582,497,361,738,652,718,463,552,780,369,306,583,065,875 \\ 12602123297335631^3=2,001,387,454,481,788,542,313,426,390,100,466,780,457,779,044,591 \end{gathered}$

Therefore, the sum is given to be:

$\begin{gathered} k=522,413,599,036,979,150,280,966,144,853,653,247,149,764,362,110,424+520,412,211,582,497,361,738,652,718,463,552,780,369,306,583,065,875+2,001,387,454,481,788,542,313,426,390,100,466,780,457,779,044,591 \\ k=1,044,827,198,073,958,300,561,932,289,707,306,494,299,528,724,220,890 \end{gathered}$

The value of k is 1,044,827,198,073,958,300,561,932,289,707,306,494,299,528,724,220,890.