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completing the square


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Consider a numerical example: the quadratic equation 2x2+5x+1=0 can be solved by first writing it asThis step is known as completing the square: the left-hand side is made into an exact square by adding a suitable constant to both sides. The solution of the quadratic equation can then be accomplished as follows:By proceeding in the same way with ax2+bx+c=0, the standard formula for the solution of a quadratic equation can be derived.

Subjects: Mathematics.


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