4x2 + 52x - 3.


By splitting the middle term


4x2 + 52x - 3 = 0


4x2 + (6√ 2x - √2 x) - 3 = 0


4x2 + (6√ 2x - √2 x) - 3 = 0


2√2 x (√2x + 3) - (√2x + 3) = 0


(√2x + 3)(2√2 - 1) = 0


x = -


Verification:


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


α + β = - b/a


() + () = -


=


Product of the zeroes = constant term ÷ coefficient of x2


α β = c/a


=


- 3/4 = - 3/4


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