SOLUTION: I could use some help solving this equation I'm given:
Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: I could use some help solving this equation I'm given:
Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.
Log On
Question 1039075: I could use some help solving this equation I'm given:
Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.
(x - 5 / x - 7) - (14 / x^2 - 7x) = 0
Any help is greatly appreciated!
You can put this solution on YOUR website! Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.
(x - 5 / x - 7) - (14 / x^2 - 7x) = 0
------
(x-5)/(x-7) - 14/[(x(x-7)] = 0
------
Multiply thru by x(x-7) to get:
x(x-5) - 14 = 0
x^2-5x-14 = 0
----
Factor::
(x-7)(x+2) = 0
-------
x = 7 or x = -2
-----
Original equation::
(x - 5 / x - 7) - (14 / x^2 - 7x) = 0
---------
Checking x = 7::(
(7-5)/(7-7) - (14/(49-49) = 0
2/0 - 14/0 = 0
Therefore:: x = 7 is not a solution since 2/0 is undefined.
--------------
Checking x = -2
(-2-5)/(-2-7) - (14/((-2)^2 - 7*-2) = 0
7/9 - 14/18 = 0
0 = 0
Therefore:: x = -2 is a solution.
(