Question

if sum of zeroes of a quadratic polynomial x^2-2kx-6=0 is 1 then find 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