Question 95619
Solve and check for x.
{{{5/(x+6)+2/(x^2+7x+6)=3/(x+1)}}}
:
The quadratic in the denominator will factor:
{{{5/(x+6)+2/((x+6)(x+1))= 3/(x+1)}}}
:
The common denominator is (x+6)(x+1), multiply by that and we have:
5(x+1) + 2 = 3(x+6)
5x + 5 + 2 = 3x + 18
5x + 7 = 3x + 18
5x - 3x = 18 - 7
2x = 11
x = 11/2
:
Check using x = 5.5:
Solve and check for x.
{{{5/(5.5+6)+2/(5.5^2+7(5.5)+6)=3/(5.5+1)}}}
:
{{{5/11.5+2/(30.25+38.5+6)=3/6.5}}}
:
{{{5/11.5 + 2/74.75 = 3/6.5}}}
:
.4348 + .02676 = .46154
 .46156 ~ .46154