SOLUTION: Can you please solve this? I don't get the wording of the problem. Can you please show all working and explain each step. Thank you. Given that one root of x^2+bx+c=0 is -1+{{{

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please solve this? I don't get the wording of the problem. Can you please show all working and explain each step. Thank you. Given that one root of x^2+bx+c=0 is -1+{{{      Log On


   

Question 985165: Can you please solve this? I don't get the wording of the problem. Can you please show all working and explain each step. Thank you.
Given that one root of x^2+bx+c=0 is -1+sqrt%282%29, find the values of b and c, and the other root. (Assume b and c are integers)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Where does a root of a form like that of a quadratic equation come from? You should expect the other root to be -1-sqrt%282%29. The equation might be reformed going backwards from either root.

x being a root once the root is solved,
x=-1%2Bsqrt%282%29
x%2B1=sqrt%282%29
%28x%2B1%29%5E2=%28sqrt%282%29%29%5E2
x%5E2%2B2x%2B1=2
x%5E2%2B2x%2B1-2=0
x%5E2%2B2x-1=0------general form quadratic equation