SAT Question 928498f3: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, can be used to find the solutions to an equation in the form $a{x}^2+bx+c=0$. In the given equation, $a=6$, $b=5$, and $c=-7$. Substituting these values into the quadratic formula gives $\frac{-5\pm \sqrt{5^2-4\times 6\times (-7)}}{2\times 6}$, or $\frac{-5\pm \sqrt{25+168}}{12}$.