Find the zero of the following quadratic polynomial and verify the relationship between the zero and the coefficients. X sq +root 2X -4
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Step-by-step explanation:
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
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