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  2. Completing The Square

Completing the Square Calculator

Get detailed solutions to your math problems with our Completing the Square step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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Example

Solved Problems

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1

Here, we show you a step-by-step solved example of completing the square. This solution was automatically generated by our smart calculator:

$x^2+8x+20$
2

Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$x^2+8x+20+\left(\frac{8}{2}\right)^2- \left(\frac{8}{2}\right)^2$
3

Divide $8$ by $2$

$x^2+8x+20+4^2- \left(\frac{8}{2}\right)^2$
4

Divide $8$ by $2$

$x^2+8x+20+4^2- 4^2$
5

Calculate the power $4^2$

$x^2+8x+20+16- 16$
6

Multiply $-1$ times $16$

$x^2+8x+20+16-16$
7

Subtract the values $20$ and $-16$

$\left(x+4\right)^2+4$

Final answer to the exercise

$\left(x+4\right)^2+4$

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