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

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$3x^2+x-6=0$ What is the greatest solution to the given equation?

A

$-\frac{1}{6}+\frac{\sqrt{73}}{6}$

B

$-\frac{1}{6}-\frac{\sqrt{73}}{6}$

C

$\frac{1}{3}+\frac{\sqrt{73}}{3}$

D

$\frac{1}{3}-\frac{\sqrt{73}}{3}$