Question

if one zero of the poly. 2x^2 - 6kx + 6x - 7 is negative of the other than k​

Answer 1

You have written the question wrongly but here is the answer, hope it helps!

Let us consider one zero of the polynomial is " a "

According to the question,

Other zero of the polynomial = - a

Sum of roots = a + ( -a) = 0

We know that,

For a quadratic equation,

Sum of roots = - ( Coefficient of x) / Coefficient of x²

Given polynomial = x² + 4kx - 25

So, Sum of roots = 4k/1 = 4k

From the data of this question,

Sum of roots = 0

That is, 4k = 0

k = 0/4 = 0 .

Therefore, Value of K = 0