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# Solve the quadratic equation $0=x^2+x+1$

## Step-by-step Solution

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### Videos

$x=-0.5+0.866025i,\:x=-0.5-0.866025i$
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## Step-by-step Solution

Problem to solve:

$0=x^2+x+1$

Specify the solving method

1

Grouping terms

$-1=x^2+x$

Learn how to solve quadratic equations problems step by step online.

$-1=x^2+x$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 0=x^2+x+1. Grouping terms. Factor the polynomial x^2+x. Add and subtract \left(\frac{b}{2}\right)^2, where in this case b equals 1. Now we can factor x^2+x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Grouping terms.

$x=-0.5+0.866025i,\:x=-0.5-0.866025i$
SnapXam A2

### beta Got another 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

$0=x^2+x+1$