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Popular >

9/2 =(30)/((15-x))+(30)/((15+x))

Solution

\frac{9}{2} = \frac{30}{( 15 - x )} + \frac{30}{( 15 + x )}

Solution

x = 5, x = - 5

Solution steps

\frac{9}{2} = \frac{30}{( 15 - x )} + \frac{30}{( 15 + x )}

Multiply by LCM

9 (- x + 15) (x + 15) = 60 (x + 15) + 60 (- x + 15)

Solve

9 (- x + 15) (x + 15) = 60 (x + 15) + 60 (- x + 15) : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 15, x = - 15

Combine undefined points with solutions:

x = 5, x = - 5

Popular Examples

a/((x-1))+b/((x+2))=((5x+1))/(((x-1)(x+2)))

\frac{a}{( x - 1 )} + \frac{b}{( x + 2 )} = \frac{( 5 x + 1 )}{( ( x - 1 ) ( x + 2 ) )}

(r^2)/(|(1-r^2)|)=1.02

\frac{r ^{2}}{∣ ( 1 - r ^{2} ) ∣} = 1.02

|(2x)/(x-2)|+|x|=(x^2)/(|x-2|)

\frac{2 x}{x - 2} + ∣ x ∣ = \frac{x ^{2}}{∣ x - 2 ∣}

((x+1)/x)^2+((1-1)/x)^2=1

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

((n+1)!)/((n-1)!)=20

\frac{( n + 1 ) !}{( n - 1 ) !} = 20

Frequently Asked Questions (FAQ)

What is the answer to 9/2 =(30)/((15-x))+(30)/((15+x)) ?
The answer to 9/2 =(30)/((15-x))+(30)/((15+x)) is x=5,x=-5
Solve for x: 9/2 =(30)/((15-x))+(30)/((15+x))
The solution is x=5,x=-5