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Derivation of Quadratic Formula A Quadratic Equation looks like this And it can be solved using the Quadratic Formula That formula looks like magic, but you can follow the steps to see how it comes about 1 Complete the Square ax 2 bx c has "x" in it twice, which is hard to solve But there is a way to rearrange it so that "x" onlyC h 3 (3) = h 3 2 BaC 2 2(Am2 BmC) Ab2 C 2!Quadratic Formula For an equation of the form \(ax^2bxc=0\), you can solve for x using the Quadratic Formula $$ x = \frac{b \pm \sqrt{b^24ac}}{2a} $$ Binomial Theorem \((ab)^1= a b\) \((ab)^2=a^22abb^2\) \((ab)^3=a^33a^2b3ab^2b^3\) \((ab)^4=a^44a^3b6a^2b^24ab^3b^4\) Difference of Squares \(a^2b^2=(ab)(ab)\) Rules of Zero Distance Between Two Points Definition Formulas Examples (a+b+c)^3 formula derivation