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

## Step-by-step Solution

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$x\leq 2.765381$
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##  Step-by-step Solution 

Problem to solve:

$9580x+x^2\leq 26500$

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1

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

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

Learn how to solve inequalities problems step by step online.

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

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. Moving the term -22944100 to the other side of the inequation with opposite sign. Removing the variable's exponent.

$x\leq 2.765381$

SnapXam A2

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x
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+
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◻/◻
/
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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

Inequalities

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