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