Describe how to derive the quadratic formula from a quadratic equation in standard form.
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The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.
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1) Complete the Square. ax2 + bx + c has "x" in it twice, which is hard to solve. But there is a way to rearrange it so that "x" only appears once. It is called Completing the Square (please read that first!). ...
2) Now Solve For "x" Now we just need to rearrange the equation to leave "x" on the left. Start with. Square root.
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