if x=1/2√3 is a zero of polynomial p(x)=2kx²-7x+k, then find the value of k
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p(x) = 2kx^2 - 7x + k
=> p(1/2√3) = 2 x k x (1/2√3)^2 - 7/2√3 + k
=> p(1/2√3) = k/6 - 7/2√3 + k
=> 7/2√3 = 7k/6
=> 1/2√3 = k/6
=> k = √3
=> p(1/2√3) = 2 x k x (1/2√3)^2 - 7/2√3 + k
=> p(1/2√3) = k/6 - 7/2√3 + k
=> 7/2√3 = 7k/6
=> 1/2√3 = k/6
=> k = √3
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