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What strategy can be used to complete the square for any equation of the form $x^{2}+a x+b=0$
in Mathematics by Gold Status (10,273 points) | 14 views

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1. Move $b$ to the right side such that $x^{2}+a x=-b$

2. Add $\left(\frac{a}{2}\right)^{2}$ to both sides such that $x^{2}+a x+\left(\frac{a}{2}\right)^{2}=-b+\left(\frac{a}{2}\right)^{2}$

3. We can see that $x^{2}+a x+\left(\frac{a}{2}\right)^{2}$ is now a perfect square of $\left(x+\frac{a}{2}\right)^{2}$

4. The square is now completed and simple algebraic calculations will lead to the values of $x$.
by Gold Status (10,273 points)

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