Uncommon

Completing the square

Method for solving quadratic equations

Completing the square

Uncommon card · No. 182550

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ⁠ a x 2 + b x + c {\displaystyle \textstyle ax^{2}+bx+c} ⁠ to the form ⁠ a ( x − h ) 2 + k {\displaystyle \textstyle a(x-h)^{2}+k} ⁠ for some values of ⁠ h {\displaystyle h} ⁠ and ⁠ k {\displaystyle k} ⁠. In terms of a new quantity ⁠ x − h {\displaystyle x-h} ⁠, this expression is a quadratic polynomial with no linear term. By subsequently isolating ⁠...

Read on Wikipedia · Image Lucas V. Barbosa, Public domain

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