Question 452169
solve the equation. check your answer.
Assume the problem is:
{{{2/(b-2) - 5/(b+7) = 2/(b^2+5b-14)}}}
:
Factor the quadratic denominator
{{{2/(b-2) - 5/(b+7) = 2/((b+7)(b-2))}}}
:
multiply by (b+7)(b-2), results:
2(b+7) - 5(b-2) = 2
:
2b + 14 - 5b + 10 = 2
:
2b - 5b + 24 = 2
:
-3b = 2 - 24
:
-3b = -22
b = {{{(-22)/(-3)}}}
b = +7{{{1/3}}}
:
;
I'll let you check this, substitute 7.33 for b in the original problem