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2 years ago

8

What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start

Fraction 16 Over h squared minus 25 EndFraction?
h = eleven-thirds
h = 5
h = 7
h = twenty-one-halves

2 answers:

vlabodo [156]2 years ago

7 0

Answer:

h=7

Step-by-step explanation:

djyliett [7]2 years ago

4 0

Answer:

h=7

Step-by-step explanation:

We want to solve the equation:

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

We multiply through by the LCM: $h^2-25=(h+5)(h-5)$

$(h^2-25*\frac{1}{h-5}+(h^2-25)*\frac{2}{h+5}=\frac{16}{h^2-25} \times(h^2-25)$

Simplify to get:

$h+5+2(h-5)=16$

We expand to get:

$h+5+2h-10=16$

$h+2h=16+10-5$ $3h=21$

h=7

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