Question 145
Consider the equation $(x^2 - 8x + 7)^2 + (3m - 1)(x^2 - 8x + 7) + 2m^2 - m = 0$, where $m$ is a real parameter.
a) Find the number of solutions of the equation for $m = 6$.
b) Find the values of $m$ for which the equation has exactly three distinct real roots.
a) Find the number of solutions of the equation for $m = 6$.
b) Find the values of $m$ for which the equation has exactly three distinct real roots.