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.
Solution
Your input: complete the square in $$$x^{2} - 2 x - 3=0$$$.
Move everything to the left side: the equation becomes $$$x^{2} - 2 x - 3=0$$$.
Proceed with the obtained expression.
Add and subtract $$$1$$$:
$$$x^{2} - 2 x - 3=x^{2} - 2 x - 3 + {\color{red}{1}} - {\color{red}{\left(1\right)}}$$$
Complete the square:
$$$-4 + {\color{red}{\left(x^{2} - 2 x + 1\right)}}=-4 + {\color{red}{\left(x - 1\right)^{2}}}$$$
Answer: $$$x^{2} - 2 x=3$$$ becomes $$$\left(x - 1\right)^{2} - 4=0$$$.
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