Solve the following equation. remember to check for extraneous solutions 7/(b+3) + 5/(b-3) = (10b-2)/(b²-9).

b= 2 is the solution for the given equation.

Step-by-step explanation:

Here, the given expression is:

Simplifying Left side, we get

=

Also, by ALGEBARIC IDENTITY:

So,

So, LHS becomes

Compare both Left side, Right side we get

=  

or, 7(b-3) + 5(b+3) = 10b -2

⇒ 7b - 21 + 5b + 15 = 10b -2

or, 12b - 10b = 6-2

or, 2b = 4 ⇒ b = 4/2 = 2

⇒ b= 2 is the solution for the given equation.

the answer is b