Answer: The answer is (C).
Step-by-step explanation: The given quadratic equation is
[tex]2c^2=16c-32\\\\\Rightarrow c^2=8c-16\\\\\Rightarrow c^2-8c+16=0.[/tex]
We know that the type of the solution of a quadratic equation depends upon the discriminant.
Here, the discriminant is given by
[tex]D=8^2-4\times 1\times 16=64-64=0.[/tex]
Since the discriminant is zero, so the two roots are real and equal.
Thus, we can say that the equation has one rational solution.
Hence, (C) is the correct option.
