Question

If one number is multiplied by another number the resulting number is the sum of the square of the first number and cube root of the second number.Find the number of such pairs.
Please write down the right process .
Don't write only the pairs.Write a justified process too.

Answer 1

Answer:

(0, 0)

Explanation :

let one number be $x$

if one number is multiplied by $x$  i.e $x*x$

According to the question

$x*x =x^2+ \sqrt[3]{x} \\\\x^{2} =x^{2} +\sqrt[3]{x} \\\\x^{2} -x^{2} =\sqrt[3]{x} \\\\0=\sqrt[3]{x} \\\\0^{3} = x\\\\0=x$

pair is (0,0)