Final answer:
No, 10 is not a solution to the equation because substituting it does not satisfy the equality of the equation.
Step-by-step explanation:
The student is asking whether 10 is a solution to the equation r^4 = 2.5r. To determine if 10 is a solution, one must substitute 10 in place of r and simplify the equation. If after substitution, the equation holds true, then 10 is indeed a solution. Let's test it:
10^4 is equal to 10000, and 2.5 × 10 is equal to 25. The original equation then becomes 10000 = 25, which is clearly not true. Therefore, by substituting 10 for r in the equation and simplifying, we find that the equation is not true.