The answer to the Diophantine equation (x³+y³+z³=k) is given below. First lets us see the definition of the same.
<h3>What is a
Diophantine equation?</h3>
A Diophantine equation in mathematics is a polynomial equation with two or more unknowns, where the only solutions of interest are integer ones.
A linear Diophantine equation is equal to the sum of two or more monomials of degree one.
Unknowns can emerge in exponents in an exponential Diophantine equation.
<h3>
What is the solution to the above problem?</h3>
Recall that this problem is called the "summing of three cubes." Thus, from the values given, the minimum value of K can be 1.
To arrive at that, we can do
x = 0, y = 0, z = 1
so 0³+0³+1³; hence
k = 1
and maximum value of k can be 99
with that we work with x=2,y=3, z=4
2³+3³+4³=99
Hence, so x can be 0, or 2
y can be 0 or 3; and
z can be 1 or 4.
Learn more about Diophantine equations at;
brainly.com/question/15146884
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