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Solve the inequality $x^2<10-3x$

Step-by-step Solution

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Final Answer

$x<2$
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Step-by-step Solution

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Grouping terms

$x^2+3x<10$

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$x^2+3x<10$

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Learn how to solve integrals of polynomial functions problems step by step online. Solve the inequality x^2<10-3x. Grouping terms. Factor the polynomial x^2+3x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 3. Now, we can factor x^2+3x+\frac{9}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of \frac{9}{4}.

Final Answer

$x<2$

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Function Plot

Plotting: $x<2$

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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

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