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Solve the inequality $3x^2-x+8\leq x-2$

Step-by-step Solution

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Final Answer

$x\leq \frac{\sqrt{5}}{3}i+\frac{1}{3}$
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Step-by-step Solution

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1

Grouping terms

$3x^2-x+8-x\leq -2$

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$3x^2-x+8-x\leq -2$

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Learn how to solve problems step by step online. Solve the inequality 3x^2-x+8<=x-2. Grouping terms. Combining like terms -x and -x. Rewrite the inequation. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (3) to all terms.

Final Answer

$x\leq \frac{\sqrt{5}}{3}i+\frac{1}{3}$

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Function Plot

Plotting: $x\leq \frac{\sqrt{5}}{3}i+\frac{1}{3}$

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1
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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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