Q. 54.5( 14 Votes )

2x<span lang

Answer :

By splitting the middle term


2x2 + 7x/2 + 3/4 = 0


8x2 + 14x + 3 = 0


8x2 + (12x + 2x) + 3 = 0


8x2 + 12x + 2x + 3 = 0


4x (2x + 3) + (2x + 3) = 0


(2x + 3)(4x + 1) = 0


x = - 3/2, - 1/4


Verification:


Sum of the zeroes = - (coefficient of x) ÷ coefficient of x2


α + β = - b/a


(- 3/2) + (- 1/4) = - (7)/4


= - 7/4 = - 7/4


Product of the zeroes = constant term ÷ coefficient of x2


α β = c/a


(- 3/2)(- 1/4) =


3/8 = 3/8


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