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

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$$4x^2+x-4=0$$
What is the greatest solution to the given equation?

A

$-\frac{1}{8}-\frac{\sqrt{65}}{8}$

B

$-\frac{1}{8}+\frac{\sqrt{65}}{8}$

C

$-\frac{1}{4}-\frac{\sqrt{65}}{4}$

D

$-\frac{1}{4}+\frac{\sqrt{65}}{4}$