Question 439686: If a quadradic equation can be solved, how many solutions are there? Found 2 solutions by asuar010, solver91311:Answer by asuar010(338) (Show Source):
You can put this solution on YOUR website! There are always two solution to the quadratic equations. The trick to solve polynomials is that the degree of the polynomial is the amount of solutions it contains.
The fundamental theorem of algebra says that a polynomial equation of degree n has exactly n roots, counting multiplicities. A quadratic equation is a polynomial equation of degree 2, hence it ALWAYS has two roots. You might have 2 real and unequal roots, a real root with a multiplicity of two, or a conjugate pair of complex roots of the form where is the imaginary number defined by
John
My calculator said it, I believe it, that settles it
