If one zero of the quadratic polynomial f(x) = 4x2
-8kx -9 is negative of other, find the value of k.
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Let α and β be the zeros of the polynomial 4x²-8kx-9
It is given that α=-β
Then, α+β=0
=>-b/a=0
=>-(coefficient of x)/coefficient of x²=0
=>8k/4=0
=>2k=0
=>k=0
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