What are the two solutions of x squared minus 2 x minus 4 is equal to negative 3 x plus 9 ?

The solutions are the x-values that make the two sides equal, so they occur where the graphs y = x² − 2x − 4 and y = −3x + 9 intersect. Setting the expressions equal gives x² + x − 13 = 0, whose solutions are x = (−1 + √53)/2 and x = (−1 − √53)/2. These are the x-coordinates of the intersection points, as choice B states.

AI-written and checked against the verified answer.