Question

if one root of the equation 3x^2-9x=kx is 2, then the value of k is ​

Answer 1

Answer:

k=-6 is the answer

Step-by-step explanation:

Let the two roots be(2,α)of the given equation.

Theequationis

3x

2

−9x=kx−k

⇒3x

2

−(9+k)x+k=0

∴2+α=

3

9+k

⇒α=

3

3+k

−−−−(1)

Again2×α=

3

k

∴α=

6

k

−−−−(2)

from(1)and(2)weget

3

3+k

=

6

k

⇒k=−6(Ans)

Answer 2

Answer:

$3 {x}^{2} - 9x = kx \\ \\ = > 3 \times ( {2})^{2} - 9 \times 2 = 2k \\ \\ = > 12 - 18 = 2k \\ \\ = > - 6 = 2k \\ \\ = > k = \frac{ - 6}{2} = - 3$