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Solve the inequality $940x+x^2\leq 17100$

Step-by-step Solution

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Final Answer

$x\leq 207.421582$
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Step-by-step Solution

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Factor the polynomial $940x+x^2$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $940$

$x^2+940x+220900-220900\leq 17100$

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$x^2+940x+220900-220900\leq 17100$

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Learn how to solve problems step by step online. Solve the inequality 940x+x^2<=17100. Factor the polynomial 940x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 940. Now, we can factor x^2+940x+220900 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of 220900. Moving the term -220900 to the other side of the inequation with opposite sign.

Final Answer

$x\leq 207.421582$

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Function Plot

Plotting: $x\leq 207.421582$

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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
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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