high School⏱ 4 min

Quadratic Formula Derivation

Where the quadratic formula comes from

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x=3.00x=-1.00
a = 1
b = -2
c = -3
1x2+−2x+−3=0⇒x2+−21x=311x^2+-2x+-3=0 \Rightarrow x^2+\frac{-2}{1}x = \frac{3}{1}
x=−b±b2−4ac2a=2±162x = \frac{-b\pm\sqrt{b^2-4ac}}{2a} = \frac{2\pm\sqrt{16}}{2}

Δ = 16 → 2 korene

The quadratic formula comes from completing the square: ax²+bx+c=0 → (x+b/2a)²=...