How do you find the roots, real and imaginary, of #y= 12x^2 - 12x + 8+ 4(-x-1)^2 # using the quadratic formula?
Two imaginary roots.
Develop and bring the equation to standard form:
Solve the quadratic equation by the improved quadratic formula (Socratic Search).
Since D < 0, there are 2 imaginary roots.
Squaring the bracket
divide both sides by 4
But 47 is a prime number so we have