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Solve the inequality $\frac{1}{2}x^2-4x-3\leq 0$

Step-by-step Solution

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Final Answer

$x\leq 10.164414$
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Step-by-step Solution

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($\frac{1}{2}$) to all terms

$\frac{1}{2}\left(x^2-8x-6\right)\leq 0$

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$\frac{1}{2}\left(x^2-8x-6\right)\leq 0$

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Learn how to solve inequalities problems step by step online. Solve the inequality 1/2x^2-4x+-3<=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (\frac{1}{2}) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-8xx+16. Subtract the values -6 and -16.

Final Answer

$x\leq 10.164414$

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Function Plot

Plotting: $x\leq 10.164414$

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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

How to improve your answer:

Main Topic: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

Used Formulas

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