find the zeors of each of the following quadratic polynomials and verify the relationship between the zeros and their coefficient f(x)=x2-(root2+1)x+root2 and g(x)=a(x2+1)-x(a2+1)
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f(x)=x^2-✓2x-x+✓2=0
x(x-√2)-1(x-√2)=0
(x-1)(x-√2)=0
x=1,√2
sum of the roots =√2+1=-b/a=√2+1
product of roots =✓2=c/a=√2
hence verified
x(x-√2)-1(x-√2)=0
(x-1)(x-√2)=0
x=1,√2
sum of the roots =√2+1=-b/a=√2+1
product of roots =✓2=c/a=√2
hence verified
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