Question

find the zeros of the quadratic polynomial √3x^2 - 2x + 4√3​

Answer 1

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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