So x -b2 a giving only one solution. If it 0 then youll have one real solution and if its. If the solution is a real number or an imaginary number.
An alternative way of deriving the quadratic formula is via the method of Lagrange resolvents which is an early part of Galois theory.
But this is another story. Ex- eqdisplaystyle x2-3x2. 5x - 2 3x 3 x4-1 is equivalent to 8x - 2 3x 12 - 1 that is 8x - 2 3x 11. So when we get two solutions.