What is the answer to ((5x))/((x-3))+4/((x+3))=(90)/((x^2-9)) ?

The answer to ((5x))/((x-3))+4/((x+3))=(90)/((x^2-9)) is x=-34/5

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((5x))/((x-3))+4/((x+3))=(90)/((x^2-9))

\frac{( 5 x )}{( x - 3 )} + \frac{4}{( x + 3 )} = \frac{90}{( x ^{2} - 9 )}

x = - \frac{34}{5}

Decimal Notation

x = - 6.8

Solution steps

\frac{( 5 x )}{( x - 3 )} + \frac{4}{( x + 3 )} = \frac{90}{( x ^{2} - 9 )}

Multiply by LCM

5 x (x + 3) + 4 (x - 3) = 90

Solve

5 x (x + 3) + 4 (x - 3) = 90 : x = 3, x = - \frac{34}{5}

x = 3, x = - \frac{34}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 3

Since the equation is undefined for:

3

x = - \frac{34}{5}

∣ x ∣ = \frac{1}{x}

s, 1 + \frac{k _{c}}{( ( 2 s + 1 ) ( 5 s + 1 ) )} = 0

\frac{x}{( 3 - 2 x )} = \frac{( x + 1 )}{( 3 - x )}

ln (\frac{10}{9}) = \frac{36 \cdot 1 0 ^{10}}{x}

2 (\frac{x + 1}{x})^{2} - 7 (\frac{x + 1}{x}) + 5 = 0

What is the answer to ((5x))/((x-3))+4/((x+3))=(90)/((x^2-9)) ?
The answer to ((5x))/((x-3))+4/((x+3))=(90)/((x^2-9)) is x=-34/5
Solve for x: ((5x))/((x-3))+4/((x+3))=(90)/((x^2-9))
The solution is x=-34/5