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

hard

$4x^2-5x-5=0$ What is the greatest solution to the given equation?

A

$\frac{5}{8}+\frac{\sqrt{105}}{4}$

B

$\frac{5}{8}+\frac{\sqrt{105}}{8}$

C

$\frac{5}{4}+\frac{\sqrt{105}}{8}$

D

$\frac{5}{4}+\frac{\sqrt{105}}{4}$