What is a quadratic equation? List a few methods to solve quadratic equations. Provide an example of quadratic equations in the everyday world.

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Answer:

  • Quadratic equation is a polynomial equation of a second degree.

         Standard form: ax² + bx + c = 0.

         a is the coefficient of x², b is the coefficient of x, c is the constant   term and a≠ 0.

  • Methods to solve quadratic equations:
  1. Factorization method
  2. Completing the square method
  3. Using quadratic formula
  • Example: Calculate area of rooms. Suppose if we want to build hall having a carpet area of 300 m² with its length one meter more than twice its breadth, we can use quadratic equation.