Question

What is the solution to the equation 1/h-5+2/h+5=16/h^2-25

Answer 1

9514 1404 393

Answer:

h = 7

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.

`\displaystyle(1)/(h-5)+(2)/(h+5)=(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}`