A quadratic equation can be solved by:

  • Factorisation Method
  • Completing the square method
  • Quadratic formula
  • All of the above.

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The correct option is D: All of the above.

A quadratic equation can indeed be solved using any of the following methods:

  1. Factorisation Method: By expressing the quadratic equation in the form of a product of two binomial expressions.
  2. Completing the Square Method: By transforming the equation into a perfect square trinomial on one side.
  3. Quadratic Formula: By applying the formula $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $, which directly provides the roots of the quadratic equation.

Thus, all these methods are valid for solving quadratic equations.

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