If the product of the roots of the equation $3kx^2-25kx+k+8 = 0$ is 3, then $k$ is

Explanation

The given equation– $3kx^2 - 25kx + (k + 8) = 0$ ...........................(i) if the equation is in the form of the equation given below equation given below & their roots is , then– $ax^2 + bx + c = 0$ ...........................(ii) then $\alpha + \beta = \frac{-b}{a}$ & $\alpha.\beta = \frac{c}{a}$ on comparing equation (i) (i) & (ii) $a=3k, b = -25k, c = (k + 8)$ Product of roots is given i.e. 3 so $\frac{k+8}{3k} = 3$ $k + 8 = 9k$ $8 = 8k$ $\boxed{k=1}$ # Trigonometry