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Universality
ax² + bx + c = 0
(ax² + bx + c)*4a = 0*4a
4a²x² + 4abx + 4ac = 0
(4a²x² + 4abx + 4ac) + b² = 0 + b²
(4a²x² + 4abx + b²) + 4ac = b²
(2ax+b)² + 4ac = b²
(2ax + b)² = b² - 4ac
2ax + b = ± √(b² - 4ac)
2ax = -b ± √(b² - 4ac)
x = (-b ± √(b² - 4ac))/2a
(ax² + bx + c)*4a = 0*4a
4a²x² + 4abx + 4ac = 0
(4a²x² + 4abx + 4ac) + b² = 0 + b²
(4a²x² + 4abx + b²) + 4ac = b²
(2ax+b)² + 4ac = b²
(2ax + b)² = b² - 4ac
2ax + b = ± √(b² - 4ac)
2ax = -b ± √(b² - 4ac)
x = (-b ± √(b² - 4ac))/2a
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