Find all values of m for which the equation has two real solutions. 9u^2-7u=(m-3) Write your answer starting with m, followed by an equal sign or inequality symbol (for example, m<5).

Question

Reduce all fractions

Answer 1

Hey Dayan. Hope you are doing well. So you have the equation of 9u^2 - 7u = (m-3). What if we asked a slightly simpler question of 9u^2 - 7u = k (k is just a variable that can be some number). How would you find the values of k where this equation has 2 real solutions? Anything you notice about the expression? Could this maybe hint a t a property you might want to leverage?