SOLUTION: (x-10)/(x-7) + (42)/(x^2-49) I got -4, but I'm not sure if I did my math correctly

Algebra ->  Expressions-with-variables -> SOLUTION: (x-10)/(x-7) + (42)/(x^2-49) I got -4, but I'm not sure if I did my math correctly      Log On


   



Question 891708: (x-10)/(x-7) + (42)/(x^2-49)
I got -4, but I'm not sure if I did my math correctly

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If the right hand side of your equation is equal to zero, then, yes, x=-4 is the correct solution. Well done!

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
(x-10)/(x-7) + (42)/(x^2-49)
I got -4, but I'm not sure if I did my math correctly

This appears to be an expression that needs to be SIMPLIFIED. If so, it simplifies
to: highlight_green%28%28x+%2B+4%29%2F%28x+%2B+7%29%29%29
%28x+-+10%29%2F%28x+-+7%29+%2B+42%2F%28x%5E2+-+49%29
%28x+-+10%29%2F%28x+-+7%29+%2B+42%2F%28x+-+7%29%28x+%2B+7%29 ------- Factoring denominator of 2nd expression
%28%28x+-+10%29%28x+%2B+7%29+%2B+42%29%2F%28%28x+-+7%29%28x+%2B+7%29%29 --------- Applying LCD, (x - 7)(x + 7)
%28x%5E2+-+3x+-+70+%2B+42%29%2F%28%28x+-+7%29%28x+%2B+7%29%29
%28x%5E2+-+3x+-+28%29%2F%28%28x+-+7%29%28x+%2B+7%29%29
%28%28x+-+7%29%28x+%2B+4%29%29%2F%28%28x+-+7%29%28x+%2B+7%29%29 -------------- Factoring numerator
%28cross%28%28x+-+7%29%29%28x+%2B+4%29%29%2F%28cross%28%28x+-+7%29%29%28x+%2B+7%29%29________highlight_green%28%28x+%2B+4%29%2F%28x+%2B+7%29%29%29