Finding a,b from roots of equition

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Homework Statement



If x = -1; 1 are the two roots of the equation x^2 +ax+b = 0; then find the values of a and b.



The Attempt at a Solution



x^2+ax+b=0

(x-1) (x+1)= 0 ,,,,,, by expanding

x^2-1=0 ,,,,, so a=0 , b=-1

is it right or the question is asking for something eles,,,, ?
 
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