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Question

Find the zeroes of the polynomial 31/2x2 - 8x + 4(31/2)

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Solution

Given quadratic equation = √3x² - 8x + 4√3 = 0
We should factorize the equation first.
=√3x²-6x-2x+4√3 = 0
= √3x(x-2√3)-2(x-2√3) = 0
= (√3x-2) (x-2√3) = 0
= (√3x-2) = 0 , (x-2√3) = 0
= x = 2/√3 , x = 2√3.


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