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

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What is the greatest solution to the given equation?
$$5x^2+9x+1=0$$

A

$-\frac{9}{10}-\frac{\sqrt{61}}{10}$

B

$-\frac{9}{10}+\frac{\sqrt{61}}{10}$

C

$-\frac{9}{5}-\frac{\sqrt{61}}{5}$

D

$-\frac{9}{5}+\frac{\sqrt{61}}{5}$