Question

If the roots of equation
3x² - 2kx + 2m 0 are 2 and 3.
Find the value of K and M? ?​

Answer 1

Answer:

for a quadratic equation, ax^2+bx+c = 0,

we know that,

sum of the roots = -b/a,

product of the roots is c/a,

therefore,

2+3 = -(-2k)/3,

=>5 = 2k/3,

=> k = 15/2.

and

2*3 = 2m/3,

=> m = 9.