SOLUTION: ok I have tried this problem and I get to the end and cant seem to finish! What Am I doing wrong Help directions say solve rational equations and also andy restrictions that

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: ok I have tried this problem and I get to the end and cant seem to finish! What Am I doing wrong Help directions say solve rational equations and also andy restrictions that       Log On


   

Question 147475: ok I have tried this problem and I get to the end and cant seem to finish! What Am I doing wrong Help

directions say solve rational equations and also andy restrictions that applies to the variables
x+4=-5
_
x
I got x.x+x.4/x=-5x
x^2 + 4 = -5x
x^2 +5x+4= 0
(x )(x ) I cant seem to get past this Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B4%2Fx=-5 Start with the given equation.


x%28x%29%2Bcross%28x%29%284%2Fcross%28x%29%29=-5x Multiply every term by the LCD x.


x%5E2%2B4=-5x Multiply and simplify.


x%5E2%2B4%2B5x=0 Add 5x to both sides.


x%5E2%2B5x%2B4=0 Rearrange the terms.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=1, b=5, and c=4


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%285%29+%2B-+sqrt%28+%285%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29 Plug in a=1, b=5, and c=4


x+=+%28-5+%2B-+sqrt%28+25-4%281%29%284%29+%29%29%2F%282%281%29%29 Square 5 to get 25.


x+=+%28-5+%2B-+sqrt%28+25-16+%29%29%2F%282%281%29%29 Multiply 4%281%29%284%29 to get 16


x+=+%28-5+%2B-+sqrt%28+9+%29%29%2F%282%281%29%29 Subtract 16 from 25 to get 9


x+=+%28-5+%2B-+sqrt%28+9+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-5+%2B-+3%29%2F%282%29 Take the square root of 9 to get 3.


x+=+%28-5+%2B+3%29%2F%282%29 or x+=+%28-5+-+3%29%2F%282%29 Break up the expression.


x+=+%28-2%29%2F%282%29 or x+=++%28-8%29%2F%282%29 Combine like terms.


x+=+-1 or x+=+-4 Simplify.


So our answers are x+=+-1 or x+=+-4