SOLUTION: Please help me with this math problem------> Solve 3-(a-6/a+5)=(a^2-14/a+5)..thanks alot!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with this math problem------> Solve 3-(a-6/a+5)=(a^2-14/a+5)..thanks alot!      Log On


   

Question 427271: Please help me with this math problem------> Solve 3-(a-6/a+5)=(a^2-14/a+5)..thanks alot!
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:3-%28a-%286%2Fa%29%2B5%29=%28a%5E2-%2814%2Fa%29%2B5%29
3-a%2B%286%2Fa%29-5=a%5E2-%2814%2Fa%29%2B5 Considering -a- different of 0, multiply both sides of equation by a:
3a-a%5E2%2B6-5a=a%5E3-14%2B5a Combine like terms:
a%5E3%2Ba%5E2%2B7a-20=0, This equation is irreducible.
From its graph an approximate root is at interval (1,2), 1%3C=a%3C=2
graph%28600%2C+600%2C+-5%2C+5%2C+-25%2C+5%2C+x%5E3%2Bx%5E2%2B7x-20%29