SOLUTION: If one root of the equation ax^2+bx+c=0 is 2+√3 , then what is the other root if a, b and c are integers? Please help someone??

Algebra ->  Equations -> SOLUTION: If one root of the equation ax^2+bx+c=0 is 2+√3 , then what is the other root if a, b and c are integers? Please help someone??      Log On


   

Question 926839: If one root of the equation ax^2+bx+c=0 is 2+√3 , then what is the other root if a, b and c are integers? Please help someone??
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
ax^2+bx+c=0
one root is 2+√3
Then... the other root is 2-√3
x - (2+√3 ))(x - (2-√3)) = 0
x^2 - (4+1) = 0
x^2 -4x + 7 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%284%2B-+sqrt%28+12+%29%29%2F%282%29+
x+=+%284%2B-+sqrt%28+4%2A3+%29%29%2F%282%29+
x+=+%284%2B-+2sqrt%283+%29%29%2F%282%29+
x+=+%282%2B-+sqrt%283+%29%29