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Solve the rational equation $3+\frac{1}{x}=\frac{10}{x^2}$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=-2,\:x=\frac{5}{3}$
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Step-by-step Solution

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Learn how to solve equations problems step by step online. Solve the rational equation 3+1/x=10/(x^2). We need to isolate the dependent variable x, we can do that by simultaneously subtracting 3 from both sides of the equation. Canceling terms on both sides. Combine all terms into a single fraction with x^2 as common denominator. Apply fraction cross-multiplication.

Final answer to the problem

$x=-2,\:x=\frac{5}{3}$

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Function Plot

Plotting: $3+\frac{1}{x}+\frac{-10}{x^2}$

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5
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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
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:

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$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

$\frac{1}{2x-1}-\frac{1}{x}=0$

$\frac{x}{x+1}+\frac{2x}{x-1}=\frac{15}{4}$

$\frac{2x+4}{x+2}=2$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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