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

Answer:

h=7

Step-by-step explanation:

we have

$\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}$

Solve for h

Remember that

$h^2-25=(h-5)(h+5)$ ----> by difference of squares

Multiply by  $h^2-25$  both sides to remove the fractions

$(h+5)+2(h-5)=16\\3h-5=16\\3h=21\\h=7$

Answer 2

Answer:

C. h = 7

Step-by-step explanation:

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