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

hard

For a certain quadratic equation of the form $a{x}^2+bx+c=0$, where a, b, and c are constants, the equation has exactly one distinct real solution. Which of the following equations could be the equation?

A

$4x^2+9x+16=0$

B

$4x^2+12x+9=0$

C

$9x^2+4x+16=0$

D

$9x^2+16x+4=0$