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Solve the rational equation $x=2y\sqrt{\frac{m}{c}}$

Step-by-step Solution

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Final Answer

$y=\frac{\sqrt{c}x}{2\sqrt{m}}$
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Step-by-step Solution

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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$x=2y\left(\frac{\sqrt{m}}{\sqrt{c}}\right)$

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$x=2y\left(\frac{\sqrt{m}}{\sqrt{c}}\right)$

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Learn how to solve problems step by step online. Solve the rational equation x=2y(m/c)^1/2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Multiplying the fraction by 2y. Multiply both sides of the equation by \sqrt{c}. Divide both sides of the equation by \sqrt{m}.

Final Answer

$y=\frac{\sqrt{c}x}{2\sqrt{m}}$

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Function Plot

Plotting: $x-2y\sqrt{\frac{m}{c}}$

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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
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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