Question

find the value of k for which the roots of the equation 3x square - 10x+k =0 are reciprocal of each other

Answer 1

Answer:

k = 3

Step-by-step explanation:

Suppose the equation$3x^{2} -10x+k=0$ have roots$\alpha$ and $\frac{1}{\alpha}$

In the equation;

    a = 3;   b = -10;  c = k

For the product of the roots we have;

 $\alpha.\frac{1}{\alpha }=\frac{c}{a}=\frac{k}{3}\\\\1=\frac{k}{3}\\\\k=3$

Answer 2

Answer:

this answer is correct