(October 25, 2016 at 9:54 pm)Fireball Wrote:(October 25, 2016 at 8:13 am)robvalue Wrote: It may have a repeated solution, however. Some quadratic equations have no real solutions, but they all have at least one complex solution.
Could I have an example?
x^2 +2x + 1 = 0 => (x+1)^2 = 0 => x = -1 (repeated solution due to the left side of the original equation being a perfect square).
To be clear, repeated solution does not apply to the specific form of quadratic equation that Vic referred to: (i.e., x^2 = constant). Aside from when the constant is 0, there will always be two solutions to such an equation.
