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urp:poly [2022-01-07] nerf_herder |
urp:poly [2022-01-07] (current) nerf_herder [Completing the square] |
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Call d = b/2a: (x + d)² = d² - c/a | Call d = b/2a: (x + d)² = d² - c/a | ||
Take square roots: x + d = ±√(d² - c/a), and simplify | Take square roots: x + d = ±√(d² - c/a), and simplify | ||
- | (This gives two answers, call it u and v. | + | (Solving for x gives two answers, call it u and v. |
The quadratic equation can then be rewritten as: a(x+u)(x+v) = 0) | The quadratic equation can then be rewritten as: a(x+u)(x+v) = 0) | ||