Question

Find k so the product of the roots is -4 if 3x² + 5x + 3k = 0

Answer 1

k = - 4

Explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the product of the roots is
`(c)/(a)`

3x² + 5x + 3k = 0 ← is in standard form

with a = 3 and c = 3k , then

`(c)/(a)` = - 4 , that is

`(3k)/(3)` = - 4 ( multiply both sides by 3 to clear the fraction )

3k = - 12 ( divide both sides by 3 )

k = - 4