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# Solve the rational equation $\frac{12}{x}=\frac{24}{x+5}$

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##  Final Answer

$x=5$
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##  Step-by-step Solution 

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1

Inverting the equation

$\frac{x}{12}=\frac{x+5}{24}$

Learn how to solve differential calculus problems step by step online.

$\frac{x}{12}=\frac{x+5}{24}$

Learn how to solve differential calculus problems step by step online. Solve the rational equation 12/x=24/(x+5). Inverting the equation. Apply fraction cross-multiplication. Simplify, dividing both sides of the equality by 12. Move everything to the left hand side of the equation.

##  Final Answer

$x=5$

##  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 xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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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

### Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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