Number of roots of a quadratic equation are:
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Number of roots of a quadratic equation are:
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A quadratic equation is of the form ax^2 + bx + c = 0, which by the Fundamental Theorem of Algebra has exactly two roots (counting multiplicity).
By the fundamental theorem of algebra, the number of roots of a polynomial equation equals its highest degree. Because a quadratic equation is a polynomial of degree 2, it always has exactly two roots. These roots can be real or complex, and equal or unequal.