Q12) Find the zeroes of the quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
4 s²-4s+1
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Q12) Find the zeroes of the quadratic polynomials and verify the r 50 50gelationship between
the zeroes and the coefficients.
4 s²-4s+1
Answer
=) 4s²-4s+1
=) 4s²-2s-2s+1
=) 2s(2s-1)-2(2s-1)
=) (2s-1)(2s-1)
zeros are 1/2& 1/2
Verification________
LHS l RHS
=] /alpha + /beta = -b/a
=] 1/2+1/2 = -(-4/4)
=] 2/2 =4/4
=] 1______________=1
and
=](/alpha)(/beta) =c/a
=](1/2)(1/2) =1/4
=] 1/4 =1/4
LHS =RHS
Hence proved.
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