SOLUTION: dearest tutors, please help me regarding my proble..i really need your help.,, if i cant get the ight answer by tomorrow, probably my teacher would let me squat on the floor!! help

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: dearest tutors, please help me regarding my proble..i really need your help.,, if i cant get the ight answer by tomorrow, probably my teacher would let me squat on the floor!! help      Log On


   

Question 53919: dearest tutors, please help me regarding my proble..i really need your help.,, if i cant get the ight answer by tomorrow, probably my teacher would let me squat on the floor!! help pleas!!
The problem:
1-8x/x to the power of two -3x-28= x+1/x+4- 2x+3/x-7..
i hope you understand this problem..
ps..i will translate it incase you didnt understand..
... it is 1 minus 8x all over x squared minus 3x minus twenty eight, equals x plus 1 all over x plus 4 minus, 2x plus 3 all over x minus seven
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I'm human and don't have time to triple check my answer, so you're going to have to double check this one since you're in a hurry.
First factor to find the common denominator.
%281-8x%29%2F%28x%5E2-3x-28%29=%28x%2B1%29%2F%28x%2B4%29-%282x%2B3%29%2F%28x-7%29
%281-8x%29%2F%28%28x-7%29%28x%2B4%29%29=%28x%2B1%29%2F%28x%2B4%29-%282x%2B3%29%2F%28x-z%29
The LCD is (x-7)(x+4).
Note: x cannot = 7 or -4 because the denominator cannot = 0.
Multiply both sides of the equation by the LCD.


1-8x=%28x-7%29%28x%2B1%29-%28x%2B4%29%282x%2B3%29
1-8x=%28x%5E2%2Bx-7x-7%29-%282x%5E2%2B3x%2B8x%2B12%29
1-8x=%28x%5E2-6x-7%29-%282x%5E2%2B11x%2B12%29
1-8x=x%5E2-6x-7-2x%5E2-11x-12
1-8x=%281-2%29x%5E2%2B%28-6-11%29x%2B%28-7-12%29
1-8x=-x%5E2-17x-19

20%2B9x%2Bx%5E2=0
x%5E2%2B9x%2B20=0
%28x%2B5%29%28x%2B4%29=0
x+5=0
x+5-5=0-5
x=-5
and
x+4=0
x+4-4=0-4
x=-4 (we said earlier that x cannot equal -4 because that would make the denominator =0. -4 is an extraneous solution, so we throw it away.)
The answer is x=-5.
I checked this with my calculator, so I should be right.
Happy Calculating!!!!