Question

If one of the zero of the quadratic polynomial f(x)=4x^2-8hx-9 is equal in magnitude but opposite in sign of the other, find the value of h.
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Answer 1

let a and b be the two zeroes

given a = - b

sum of zeroes = - (- 8h)/4 =8h/4 = 2h = a + b

a + b = 2h

( - b) + b =2h

- b + b =2 h

0 = 2h

h = 0

: the value of h is 0

hope it helps you