= If the sum of the zeros of the quadratic polynomial (x) = Kx2 + 2x + 3K is equal to their product, find the value o R.
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quadratic polynomial
kx^2 + 2x +3k
let alpha and beta be zeroes of this polynomial
let us assume alpha is P and beta is Q
P + Q= -2/k
P *Q = 3k/k
it is given sum of zeroes is equal to product, so equate RHS
-2/k = 3k/k
-2/k = 3
-2 = 3k
k = -2/3
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