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

hard

$-3x^2-7x+1=0$

What is the greatest solution to the given equation?

A

$-\frac{7}{3}+\frac{\sqrt{61}}{3}$

B

$\frac{7}{3}-\frac{\sqrt{61}}{3}$

C

$-\frac{7}{6}+\frac{\sqrt{61}}{6}$

D

$-\frac{7}{6}-\frac{\sqrt{61}}{6}$