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Solve the rational equation $\frac{5}{n}=\frac{6n+1}{2n-3}$

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Solution

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Final answer to the problem

$n=\frac{3}{4}+\sqrt{2}i,\:n=\frac{3}{4}-\sqrt{2}i$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Solve the rational equation 5/n=(6n+1)/(2n-3). Apply fraction cross-multiplication. Solve the product 5\left(2n-3\right). Multiplying polynomials n and 6n+1. Group the terms of the equation by moving the terms that have the variable n to the left side, and those that do not have it to the right side.

Final answer to the problem

$n=\frac{3}{4}+\sqrt{2}i,\:n=\frac{3}{4}-\sqrt{2}i$

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Function Plot

Plotting: $\frac{5}{n}+\frac{-6n-1}{2n-3}$

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◻/◻
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◻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

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$\frac{4}{x+2}=\frac{6}{x-2}$

Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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