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Completing the square is an algebraic technique that converts a quadratic expression into perfect square form. It's used to solve quadratics and rewrite parabola equations in vertex form.
Formel
ax² + bx + c = a(x + b/2a)² + (c - b²/4a)
Trinn-for-trinn guide
- 1Identify coefficients a, b, c
- 2Move constant to the right side
- 3Add (b/2a)² to both sides to complete the square
Løste eksempler
Inndata
x² + 6x + 5 = 0
Resultat
(x + 3)² = 4 → x = -1 or x = -5
Completing the square yields vertex form
Vanlige feil å unngå
- ✕Forgetting the a coefficient when factoring out
- ✕Adding wrong value to complete the square
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