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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

Respuesta :

calculista

Answer:

h=7

Step-by-step explanation:

we have

[tex]\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}[/tex]

Solve for h

Remember that

[tex]h^2-25=(h-5)(h+5)[/tex] ----> by difference of squares

Multiply by  [tex]h^2-25[/tex]  both sides to remove the fractions

[tex](h+5)+2(h-5)=16\\3h-5=16\\3h=21\\h=7[/tex]

emilysahakyan

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

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