配方法計算器

逐步完成平方

此計算器將嘗試對給定的二次式、橢圓、雙曲線或任何多項式表達式進行配平方,並顯示步驟。

Enter an expression:

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: complete the square in $$$x^{2} + 4 x$$$.

Add and subtract $$$4$$$:

$$$x^{2} + 4 x=x^{2} + 4 x + {\color{red}{\left(4\right)}} - {\color{red}{\left(4\right)}}$$$

Complete the square:

$$$-4 + {\color{red}{\left(x^{2} + 4 x + 4\right)}}=-4 + {\color{red}{\left(x + 2\right)^{2}}}$$$

Answer: $$$x^{2} + 4 x=\left(x + 2\right)^{2} - 4$$$.


Please try a new game Rotatly