SOLUTION: Hi may I have some help with this equationn? Find all real solutions of the following equation. -1 / (x + 1) - 2 / (x^2) = 0

Algebra ->  Equations -> SOLUTION: Hi may I have some help with this equationn? Find all real solutions of the following equation. -1 / (x + 1) - 2 / (x^2) = 0       Log On


   

Question 121382: Hi may I have some help with this equationn?
Find all real solutions of the following equation.
-1 / (x + 1) - 2 / (x^2) = 0
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
-1+%2F+%28x+%2B+1%29+-+2+%2F+%28x%5E2%29+=+0+
-1+%2F+%28x+%2B+1%29+-+2+%2F+%28x%5E2%29%2B2+%2F+%28x%5E2%29=2+%2F+%28x%5E2%29
-1+%2F+%28x+%2B+1%29=2+%2F+%28x%5E2%29
Remember;
if a%2Fb=c%2Fd then, ad=bc

Applying this,
-1%28x%5E2%29=2%28x%2B1%29
-x%5E2=2x%2B2
-x%5E2%2Bx%5E2=x%5E2%2B2x%2B2
x%5E2%2B2x%2B2=0
By the quadratic formula,
x=%28-2+%2B-+sqrt%282%5E2-4%281%29%282%29%29%29%2F%282%2A1%29
x=%28-2+%2B-+sqrt%284-8%29%29%2F%282%29
If you'll continue the roots will be imaginary.
Therefore, there is no real solution
Power up,
HyperBrain!