Calculadora de completar o quadrado

Complete quadrados passo a passo

A calculadora tentará completar o quadrado para a expressão quadrática, elipse, hipérbole ou qualquer expressão polinomial dada, com passos mostrados.

Enter an expression:

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Solution

Your input: complete the square in $$$x^{2} + 6 x$$$.

Add and subtract $$$9$$$:

$$$x^{2} + 6 x=x^{2} + 6 x + {\color{red}{\left(9\right)}} - {\color{red}{\left(9\right)}}$$$

Complete the square:

$$$-9 + {\color{red}{\left(x^{2} + 6 x + 9\right)}}=-9 + {\color{red}{\left(x + 3\right)^{2}}}$$$

Answer: $$$x^{2} + 6 x=\left(x + 3\right)^{2} - 9$$$.


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