If PQ = 8 cm, SR = 3.8 cm and AB = 5 cm, compare the segments
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Step-by-step explanation:
let f(x)= 3 x 2 −8x+4 3 by splitting the middle term, we get f(x)= 3 x 2 −6x−2x+4 3 = 3 x(x−2 3 )−2(x−2 3 ) =( 3 x−2)(x−2 3 ) on putting f(x)=0, we get ( 3 x−2)(x−2 3 )=0 ⇒ 3 x−2=0 or x−2 ( 3=0) ⇒x= 3 2 orx=2 3 thus, the zeroes of the given polynomial 3 x 2 −8x+4 3 are 3 2 and 2 3 verification : sum of zeroes =α+β= 3 2 +2 3 = 3 2+6 = 3 8 or =− coefficient of x 2 coefficient of x =− 3 (−8) = 3 8 product of zeroes =αβ= 3 2 ×2 3 =4 or = coefficient of x 2 constant term = 3 4 3 =4 so, the relationship between the zeroes and the coefficients is verified.
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Hi naitvi good morning:)
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