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# Solve the inequality $x^2-2x+5\geq 0$

## Step-by-step Solution

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###  Videos

$x\geq 2i+1$
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## Step-by-step Solution

Problem to solve:

$x^2-2x+5\geq 0$

Specify the solving method

1

Moving the term $5$ to the other side of the inequation with opposite sign

$x^2-2x\geq -5$
2

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

$x^2-2x+1-1\geq -5$

Learn how to solve inequalities problems step by step online.

$x^2-2x\geq -5$

Learn how to solve inequalities problems step by step online. Solve the inequality x^2-2x+5>=0. Moving the term 5 to the other side of the inequation with opposite sign. Factor the polynomial x^2-2x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -2. Now, we can factor x^2+-2x+1 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Moving the term -1 to the other side of the inequation with opposite sign.

$x\geq 2i+1$
SnapXam A2

### 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

$x^2-2x+5\geq 0$