$\frac{x}{2}=\frac{8}{x}$

Step-by-step Solution

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Final answer to the problem

$x=4,\:x=-4$
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Step-by-step Solution

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Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=x$, $b=2$, $c=8$ and $f=x$

$x^2=16$

Learn how to solve equazioni razionali problems step by step online.

$x^2=16$

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Learn how to solve equazioni razionali problems step by step online. x/2=8/x. Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x, b=2, c=8 and f=x. Apply the formula: x^a=b\to \left(x^a\right)^{\frac{1}{a}}=\pm b^{\frac{1}{a}}, where a=2 and b=16. Apply the formula: a^b=a^b, where a=16, b=\frac{1}{2} and a^b=\sqrt{16}. Apply the formula: \left(x^a\right)^b=x, where a=2, b=1, x^a^b=\sqrt{x^2} and x^a=x^2.

Final answer to the problem

$x=4,\:x=-4$

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Function Plot

Plotting: $\frac{x}{2}+\frac{-8}{x}$

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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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