Question

7. If X= - 2, is a solution of the quadratic equation 3x + 2x - 3 = 0 find the value of k​

Answer 1

ANSWER

x=

2

−1

is a solution of equation : 3x

2

+2kx−3=0

Let the other roots be α.

then sum of roots = −

a

b

=

3

−2k

=

2

−1

+α

product of roots =

a

c

=

3

−3

=−1=

2

−1

×α

+1=+

2

α

⇒α=2

placing in (1) ⇒

3

−2k

=

2

−1

+2=

2

3

3

−2k

=

2

3

⇒k=

4

−9