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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

In the equation $5x^2+45x+c=0$, $c$ is a constant. If the equation has exactly one real solution, what is the value of $c$?

A

0

B

$\frac{9}{2}$

C

50

D

$\frac{405}{4}$