If alpha and beta are the zeroes of the quadratic polynomial f(t )=kt square +2t=3k is equal to their product find the value of k
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Given that alpha and beta are the zeroes of the quadratic polynomial
f(t) = kt^2 + 2t -3k
sum of zeroes is equal to product of zeroes (given)
sum of zeroes= -b/a = -(2)/k = -2/k
product of zeroes= c/a = -3k/k = -3
-2/k = -3
k =3/2
f(t) = kt^2 + 2t -3k
sum of zeroes is equal to product of zeroes (given)
sum of zeroes= -b/a = -(2)/k = -2/k
product of zeroes= c/a = -3k/k = -3
-2/k = -3
k =3/2
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