Multiple choice

Number of maximum solutions of a quadratic equation are

  1. $1$
  2. $2$
  3. $3$
  4. None

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B Correct answer
Explanation

A quadratic equation is of the form ax^2 + bx + c = 0. By the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n roots (counting multiplicity).

AI explanation

By the Fundamental Theorem of Algebra, the number of roots of a polynomial equation is equal to its highest degree. Since a quadratic equation is defined as a polynomial equation of degree two, it can have a maximum of two solutions. Therefore, the maximum number of solutions is two.