9514 1404 393
Answer:
h = 7
Step-by-step explanation:
Perhaps you want the solution to ...
1/(h -5) +2/(h +5) = 16/(h^2 -25)
Parentheses are required around denominators that have math operations.
Multiply by (h^2-25) and solve the linear equation.
[tex]\displaystyle\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}\qquad\text{given}\\\\(h+5)+2(h-5)=16\qquad\text{multiply by $h^2-25$}\\\\3h-5=16\qquad\text{simplify}\\\\3h=21\qquad\text{add 5}\\\\\boxed{h=7}\qquad\text{divide by 3}[/tex]