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Quadratic Equations, Study notes of Mathematics

Osmania UniversityMathematics

Quadratic Equations and their solutions.

Typology: Study notes

2021/2022

Available from 10/17/2022

amdTS8978
amdTS8978 🇮🇳

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Page 1 gi: larahamaysor' hand-arm on meena heniimenenes haul the zeroes and the cocffickemts (ix? - 20-8 (ii)4e" 45941 (iit) 6x* -3- 7 (iv)4u? +80 (vj -18 (vida? -2-4 Amsewer: (i) @=2n-8 = (x-4)(r 42} The value of 8-20-85 zero whens d= Gor r+ 2=0,ic,whens=doree 2 Therefore, the zernes of 1° —21-fare 4 and -2 aeacas -{) 2) —( Coefficient of x] Sum of zeroes = ' Coefficient of x" -a) oC =4a(-2)=—9= 4) -_Commtant er Product of sexes. 1 Coefficient of x” (lip 4s? Aye de (2-0) ‘The value of ds. -ds +1 is zero when 2s - 1 =, ie, t 1 ! 2 Theretowe, the zeroes of 43. - 45+ lore 2 ond 2. tay =(-4) (Coefficient of x) za 40 (Cnefficien offs") ell lt Canstam term Product of zeroes 2 2 4 Coefficient fs? (ii) Ge -3- Tete! 77-36 (30-4 1)(22-3) r =i 3 ‘The value of Gi: - 3 - Tris zero when d= = Oordx-3 =O, ie, 3 or 2 =l and 2 ‘Therefore, the: zeroes of tix, - 3- Tare 2 3_ 7 _=f=Th_ [Coefficient of x} 6 6 Coefficient of x"