👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  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.

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

1

Solved example of completing the square

$factor\left(x^2+8x+20\right)$
2

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

$x^2+8x+20+16-16$
3

Factor the perfect square trinomial $x^2+8x+16$

$\left(x+4\right)^2+20-16$
4

Subtract the values $20$ and $-16$

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

Final Answer

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

Struggling with math?

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