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  4. Calcolatrice di algebra

Calcolatrice per il completamento del quadrato

Completa il quadrato passo dopo passo

Il calcolatore proverà a completare il quadrato per la data espressione quadratica, ellisse, iperbole o qualsiasi espressione polinomiale, con i passaggi mostrati.

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 $$$x^{2} - 2 x - 3=0$$$.

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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