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Solve the inequality $6x^2+16x+27>0$

Step-by-step Solution

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Solution

Formulas

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Final answer to the problem

$x>\frac{7\sqrt{2}}{6}i-\frac{4}{3}$
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Step-by-step Solution

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Moving the term $27$ to the other side of the inequation with opposite sign

$6x^2+16x>0-27$

Learn how to solve implicit differentiation problems step by step online.

$6x^2+16x>0-27$

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Learn how to solve implicit differentiation problems step by step online. Solve the inequality 6x^2+16x+27>0. Moving the term 27 to the other side of the inequation with opposite sign. Subtract the values 0 and -27. Factor the polynomial 6x^2+16x by it's greatest common factor (GCF): 2x. Divide both sides of the inequation by 2.

Final answer to the problem

$x>\frac{7\sqrt{2}}{6}i-\frac{4}{3}$

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Function Plot

Plotting: $x>\frac{7\sqrt{2}}{6}i-\frac{4}{3}$

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7
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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
D□x
∫
∫◻
|◻|
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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Main Topic: Implicit Differentiation

Implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. For differentiating an implicit function y(x), defined by an equation R(x, y) = 0, it is not generally possible to solve it explicitly for y(x) and then differentiate. Instead, one can differentiate R(x, y) with respect to x and y and then solve a linear equation in dy/dx for getting explicitly the derivative in terms of x and y.

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