In the process of converting into a perfect square

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

In the process of converting ax2+bx+c=0ax^2 + bx + c = 0 into a perfect square, why is the term (b2a)2\left(\frac{b}{2a}\right)^2 added to both sides of the equation? Explain briefly.

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