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Solve the rational equation $y=\frac{\sqrt{1-7x}\left(x^2+1\right)^2}{x^2+4x+5}$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=\frac{\sqrt{1-7x}\left(x^2+1\right)^2}{\left(x+2\right)^2+1}$
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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=((1-7x)^(1/2)(x^2+1)^2)/(x^2+4x+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

$y=\frac{\sqrt{1-7x}\left(x^2+1\right)^2}{\left(x+2\right)^2+1}$

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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

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Function Plot

Plotting: $y+\frac{-\sqrt{1-7x}x^{4}-2\sqrt{1-7x}x^2-\sqrt{1-7x}}{x^2+4x+5}$

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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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