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Solve the inequality $9580x+x^2\leq 26500$

Step-by-step Solution

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Final Answer

$x\leq 2.765381$
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Step-by-step Solution

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Factor the polynomial $9580x+x^2$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $9580$

$x^2+9580x+22944100-22944100\leq 26500$

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$x^2+9580x+22944100-22944100\leq 26500$

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Learn how to solve inequalities problems step by step online. Solve the inequality 9580x+x^2<=26500. Factor the polynomial 9580x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 9580. Now, we can factor x^2+9580x+22944100 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of 22944100. Moving the term -22944100 to the other side of the inequation with opposite sign.

Final Answer

$x\leq 2.765381$

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7
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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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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.

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