Question

The value of x that satisfies the equation $\frac{4}{x-3}+\frac{5}{x-5}=\frac{9}{x-13}$ is

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

The correct option is A 4

If x=4 then

$\frac{4}{x-3}+\frac{5}{x-5}=\frac{9}{x-13}$

$\Rightarrow \frac{4}{4-3}+\frac{5}{4-5}=\frac{9}{4-13}$

$\Rightarrow \frac{4}{1}+\frac{5}{-1}=\frac{9}{-9}$

$\Rightarrow 4-5=-1$

$\Rightarrow -1=-1$

$LHS=RHS$

Hence x=4 satisfies the equation.