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Find the roots of $w=\sqrt{\frac{x}{x-8}}$

Step-by-step Solution

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Final Answer

$w=\frac{\sqrt{x}}{\sqrt{x-8}}$
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Step-by-step Solution

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1

Find the roots of the equation using the Quadratic Formula

$w=\sqrt{\frac{x}{x-8}}$
2

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

$w=\frac{\sqrt{x}}{\sqrt{x-8}}$

Final Answer

$w=\frac{\sqrt{x}}{\sqrt{x-8}}$

Explore different ways to solve this problem

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

Solve for wSolve for xFind the discriminantSimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind w=(x/(x-8))^0.5 using the definitionFind the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $w-\sqrt{\frac{x}{x-8}}$

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Answer Assistant

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Got a different answer? Verify it!

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1
2
3
4
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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