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# Solve the inequality $x^2<5x+14$

## Step-by-step Solution

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### Videos

$x<7$
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## Step-by-step Solution

Problem to solve:

$x^2<5x+14$

Specify the solving method

1

Grouping terms

$x^2-5x<14$

Learn how to solve inequalities problems step by step online.

$x^2-5x<14$

Learn how to solve inequalities problems step by step online. Solve the inequality x^2<5x+14. Grouping terms. Factor the polynomial x^2-5x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -5. Now, we can factor x^2+-5x+\frac{25}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Moving the term -\frac{25}{4} to the other side of the inequation with opposite sign.

$x<7$
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

$x^2<5x+14$