Solve the inequality $1414\cdot 20x+x^2\leq 60400$

Step-by-step Solution

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Final answer to the problem

$x\leq \sqrt{60400+14140^2}-14140$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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1

Multiply $1414$ times $20$

$28280x+x^2\leq 60400$

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$28280x+x^2\leq 60400$

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Learn how to solve problems step by step online. Solve the inequality 1414*20x+x^2<=60400. Multiply 1414 times 20. Factor the polynomial 28280x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 28280. Now, we can factor x^2+28280x+14140^2 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Cancel exponents 2 and 1.

Final answer to the problem

$x\leq \sqrt{60400+14140^2}-14140$

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Function Plot

Plotting: $x\leq \sqrt{60400+14140^2}-14140$

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Go!
1
2
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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

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