Completing the square
= Completing the square
{wiki}
Completing the square rewrites a quadratic polynomial as a squared linear expression plus a constant. For $a\ne0$,
$$
ax^2+bx+c
=a\left(x+\frac{b}{2a}\right)^2
+c-\frac{b^2}{4a}.
$$
= Completing the square
{wiki}
Completing the square rewrites a quadratic polynomial as a squared linear expression plus a constant. For $a\ne0$,
$$
ax^2+bx+c
=a\left(x+\frac{b}{2a}\right)^2
+c-\frac{b^2}{4a}.
$$