Solve the inequality $x^2-5x-6>0$

Step-by-step Solution

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Final answer to the problem

$x>6$
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Step-by-step Solution

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Apply the formula: $x+a+b>c$$=x+b>c-a$, where $a=-6$, $b=-5x$, $c=0$ and $x=x^2$

$x^2-5x>0+6$

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$x^2-5x>0+6$

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Learn how to solve problems step by step online. Solve the inequality x^2-5x+-6>0. Apply the formula: x+a+b>c=x+b>c-a, where a=-6, b=-5x, c=0 and x=x^2. Apply the formula: a+b=a+b, where a=0, b=6 and a+b=0+6. Apply the formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, where b=-5, bx=-5x and x^2+bx=x^2-5x. Apply the formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, where b=-5, bx=-5x, f=\frac{25}{4}, g=- \frac{25}{4} and x^2+bx=x^2-5x+\frac{25}{4}- \frac{25}{4}.

Final answer to the problem

$x>6$

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Function Plot

Plotting: $x>6$

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1
2
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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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