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# Solve the inequality $80x+x^2\leq 529$

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##  Final answer to the problem

$x\leq 21.0655386$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
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1

Factor the polynomial $80x+x^2$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $80$

$x^2+80x+1600-1600\leq 529$

Learn how to solve problems step by step online.

$x^2+80x+1600-1600\leq 529$

Learn how to solve problems step by step online. Solve the inequality 80x+x^2<=529. Factor the polynomial 80x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 80. Now, we can factor x^2+80x+1600 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of 1600. Moving the term -1600 to the other side of the inequation with opposite sign.

##  Final answer to the problem

$x\leq 21.0655386$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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3
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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