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Solve the rational equation $y=\frac{x^2\sin\left(x\right)}{\left(x^2+4x+1\right)^5}$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=\frac{x^2\sin\left(x\right)}{\left(\left(x+2\right)^2-3\right)^5}$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Solve the rational equation y=(x^2sin(x))/((x^2+4x+1)^5). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Divide 4 by 2. Divide 4 by 2. Calculate the power 2^2.

Final answer to the problem

$y=\frac{x^2\sin\left(x\right)}{\left(\left(x+2\right)^2-3\right)^5}$

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Function Plot

Plotting: $y+\frac{-x^2\sin\left(x\right)}{\left(x^2+4x+1\right)^5}$

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5
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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
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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$factor\left(x^3-4x^2+x+6\right)$

Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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