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urp:poly [2022-01-07]
nerf_herder [Completing the square]
urp:poly [2022-01-07]
nerf_herder
Line 22: Line 22:
   That becomes (x + b/2a)² = -c/a + (b/2a)²   That becomes (x + b/2a)² = -c/a + (b/2a)²
   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.  
 +   The quadratic equation can then be rewritten as: a(x+u)(x+v) = 0)
  
 === Method 2 === === Method 2 ===
urp/poly.txt · Last modified: 2022-01-07 by nerf_herder