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

Step-by-step Solution

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Final Answer

$x<7$
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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.

$x^2-5x<14$

Unlock the first 2 steps of this solution!

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.

Final Answer

$x<7$
SnapXam A2
Answer Assistant

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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

Useful tips on how to improve your answer:

$x^2<5x+14$

Main topic:

Inequalities

Time to solve it:

~ 0.07 s

Related topics:

Inequalities