Question

Obtain the zeros of polynomial √3x^2-8x+4√3 and verify the relation between it's zeros and coefficient

Answer 1

Answer:

hi friend,

√3x²-8x+4√3=0

√3x²-6x-2x+4√3=0

√3x(x-2√3)-2(x-2√3)=0

(√3x-2)(x-2√3)=0

x=2/√3,2√3

we know sum of roots ,= - x coefficient /x² coefficient

2/√3+2√3=8/√3

8/√3=8/√3

hence verified

we know that product of roots is constant term /x² coefficient

(2/√3)(2√3)=4√3/√3

4=4

hence verified

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