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

## Step-by-step Solution

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### Videos

$x\leq 6.141088$
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## Step-by-step Solution

Problem to solve:

${80x+x^2}\leq {529}$

Specify the solving method

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 inequalities problems step by step online.

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

Learn how to solve inequalities 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. Moving the term -1600 to the other side of the inequation with opposite sign. Removing the variable's exponent.

$x\leq 6.141088$
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
2
3
4
5
6
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

${80x+x^2}\leq {529}$