Question

What is the non-negative zero of the function f, where f(x) = 6x^2 -9x= - 6 ?

Answer 1

I assume you mean 6x^2 − 9x − 6 = 0. Divide by 3: 2x^2 − 3x − 2 = 0, which factors as (2x + 1)(x − 2) = 0. The roots are x = 2 and x = −1/2, so the non‑negative zero is 2.