Question

What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?
h = eleven-thirds
h = 5
h = 7
h = twenty-one-halves

Answer 1

Multiply both sides by (h−5)(h+5):

(h+5) + 2(h−5) = 16

h+5 + 2h−10 = 16 → 3h − 5 = 16 → 3h = 21 → h = 7.

Exclude h = ±5 from the domain, so the solution is h = 7.