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  2. Kalkylatorer
  3. Kalkylatorer: Algebra 1
  4. Algebrakalkylator

Kalkylator för kvadratkomplettering

Kvadratkomplettera steg för steg

Räknaren kommer att försöka kvadratkomplettera ett givet kvadratiskt uttryck, en ellips, en hyperbel eller valfritt polynomuttryck, med steg som visas.

Enter an expression:

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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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