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

Factor by completing the square $x^2-\frac{1}{3}x$

Step-by-step Solution

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

Final Answer

$\left(x-0.1667\right)^2-0.0278$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Factor the polynomial $x^2-0.3333x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-0.3333$

$x^2-0.3333x+0.0278-0.0278$

Learn how to solve polynomial factorization problems step by step online.

$x^2-0.3333x+0.0278-0.0278$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve polynomial factorization problems step by step online. Factor by completing the square x^2-1/3x. Factor the polynomial x^2-0.3333x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -0.3333. Now, we can factor x^2+-0.3333x+0.0278 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of 0.0278. Multiply -1 times 0.1667.

Final Answer

$\left(x-0.1667\right)^2-0.0278$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactorFind the integralFind the derivativeFind x^2+-0.3333x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $\left(x-0.1667\right)^2-0.0278$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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

How to improve your answer:

Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

Related Topics

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account