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Solve the rational equation $y=\frac{\sqrt{1-6x}\left(x^2+3\right)^2}{x^2+6x+7}$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=\frac{\sqrt{1-6x}\left(x^2+3\right)^2}{\left(x+3\right)^2-2}$
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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=((1-6x)^(1/2)(x^2+3)^2)/(x^2+6x+7). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Divide 6 by 2. Divide 6 by 2. Calculate the power 3^2.

Final answer to the problem

$y=\frac{\sqrt{1-6x}\left(x^2+3\right)^2}{\left(x+3\right)^2-2}$

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Function Plot

Plotting: $y+\frac{-\sqrt{1-6x}x^{4}-6\sqrt{1-6x}x^2-9\sqrt{1-6x}}{x^2+6x+7}$

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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:

Similar Problems Solved

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$factor\left(x^3-7x+6\right)$

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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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