u = rac{3 \pm \sqrt{9 - 4}}{2} = rac{3 \pm \sqrt{5}}{2}.

Mon, 04 May 2026 14:26:33 +0000

Understanding the Quadratic Formula: The Roots of u = (3 ± √(9 – 4))/2 The quadratic formula is a cornerstone of algebra, enabling us to solve equations of the form ax² + bx + c = 0. One particularly elegant case arises when the discriminant—expressed as b² – 4ac—results in a clean, simplified radical form. Consider the equation whose solution divides neatly into this recognizable structure:
u = (3 ± √(9 – 4))/2 Let’s unpack this expression step-by-step to uncover its beauty and mathematical significance.