Question

one root of 3x^2-x+k=0 is -5/3. find other root and k​

Answer 1

Answer:

Let the roots be a and b

such that b = -5/3.

now

$sum \: of \: the \: roots = a + \frac{ - 5}{3} = \frac{1}{3} \\ a = \frac{5}{3} + \frac{1}{3} = \frac{6}{3} = 2 \\ product \: of \: the \: roots \: = 2 \times \frac{ - 5}{3} = \frac{k}{3} \\ k = - 10$