Question

what is the meaning of
$\beta$
& how it is used in this question


Q. if the sum of the zeroes of the quadratic polynomial 3x^2-kx+6 is 3, then find the value of k​

Answer 1

Answer:

In a general quadratic equation of form ax

2

+bx+c=0, sum of roots are by

a

−b

.

In the given quadratic equation, 3x

2

−kx+6=0

a=3,b=−k,c=6

Sum of roots =

a

−b

=

3

−(−k)

=

3

k

and sum of roots is given 3

⇒

3

k

=3

⇒

k=9