Question

If one zero of the quadratic polynomial 25 x^ 2 − ( 5 k − 2 ) x − 49 is the negative of the other, find the value of k .

Answer 1

Let one zero be = ß

Other zero = -ß

Sum of zeroes = ß - ß = -b/a

=> 0 = (5k - 2)/25

=> 0 = 5k - 2

=> 5k = 2

=> k = 2/5