This is a quadratic equation with coefficients a= -3, b= -4 and c= 5. Thus, the discriminant b^2-4ac is (-4)^2 - 4(-3)(-4) = 16-48 = 16(1-3) = 16(-2).
The solutions are -(-4) plus or minus sqrt(discriminant) x = --------------------------------------------------- 2(-3) 4 plus or minus sqrt(16[-2]) = ----------------------------------------- -6 4 plus or minus 4*i*sqrt[2] = --------------------------------------- -6
This reduces to:
-2 plus or minus i*2*sqrt[2] x = -------------------------------------- (answers) 3