Practice problem

Discriminant to Find Nature of Roots

+1 contributors

Contributors

Sarah Walker
Victor Wang

A certain donut shop wants to start selling 24 karat gold donuts to outshine their competitors. After a hard day of work, they forget how many donuts they sold, but they know, based on their profit, that the equation $-2x^2+9x = 7$ holds, where $x$ is the number of donuts sold.

Solve for the possible values of $x$ . If you get a fractional answer, round down to the nearest whole number. (Hint: there may be more than one correct answer!)