Question

if a root of 9 X square + 12 x + K equals to zero are equal then find k​

Answer 1

Answer:

Letthetworootsbe(2,α)ofthegivenequation.

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)

Step-by-step explanation:

Answer 2

Answer:

if roots are equal then b²-4ac=0

12²-4x9xk=0

144-36k=0

-36k=-144

k=144/36

k=4

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