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.

Go!

Symbolic mode

Text mode



Go!



(◻)

◻/◻

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

sin

cos

tan

cot

sec

csc

asin

acos

atan

acot

asec

acsc

sinh

cosh

tanh

coth

sech

csch

asinh

acosh

atanh

acoth

asech

acsch

 Example

 Solved Problems

 Difficult Problems

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

$x^2+8x+20$

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

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

Divide $8$ by $2$

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

Divide $8$ by $2$

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

Calculate the power $4^2$

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

Multiply $-1$ times $16$

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

Subtract the values $20$ and $-16$

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

 Final answer to the problem

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

Are you struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!

 Popular problems

Most popular problems solved with this calculator: