if alpha and 1/alpha are the zeroes of the polynomial 4x2-2x+(k-4) find the value of k - Maths - Polynomials

Question

if alpha and 1/alpha are the zeroes of the polynomial
4x2-2x+(k-4) find the value of k

Poonam Trivedi · Accepted Answer

The polynomial 4x2 -2x + ( k - 4) = 0 compare the given equation to ax2 + bx + c = 0 a = 4 , b = -2 and c = (k -4) the roots are $α$ and 1/ $α$ product of roots = c / a $α$ Ã— 1/ $α$ = ( k - 4)/ 4 1 = (k - 4)/4 4 = k - 4 k = 8 the answer is k = 8 cheers

if alpha and 1/alpha are the zeroes of the polynomial 4x2-2x+(k-4).find the value of k