If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k
Polynomials Class 10 Maths NCERT/CBSE
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The given Polynomial is
(K²-14)x²-2x-12
Therefore,a=(K²-14),b=-2,c=-12
The sum of zeroes of a quadratic poly =-(-2)/k²-14
2/k²-14=1
2=1(k²-14)
2=k²-14
K²=+2+14
K²=16
K=√16
K=4