How does completing the square help solve quadratics?
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Completing the square is a powerful technique for solving quadratic equations because it transforms the equation into a perfect square trinomial, making it easier to solve for the variable. By rearranging the quadratic into the form \\((x - p)^2 = q\\), where \\(p\\) and \\(q\\) are constants, we caRead more
Completing the square is a powerful technique for solving quadratic equations because it transforms the equation into a perfect square trinomial, making it easier to solve for the variable. By rearranging the quadratic into the form \\((x – p)^2 = q\\), where \\(p\\) and \\(q\\) are constants, we can easily take the square root of both sides to find the solutions. This method not only provides the roots of the equation but also reveals the vertex of the parabola represented by the quadratic, giving us deeper insights into its graph. 📈✨ Plus, it’s a great way to derive the quadratic formula!
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