Question

If 36 - 4x2 = (6 - Kx ) (6 - 2x) then the value of k is. ( step by step explanation) ​

Answer 1

Answer:

i)

If 2x

2

+kx+3=0 has equal roots, then b

2

−4ac=0.

Here, a=2,b=k,c=3

x

2

+kx+3=0

b

2

−4ac=0

k

2

−4(2)(3)=0

k

2

=24

k=±

24

=±2

6

ii)

If kx

2

−2kx+6=0 has equal roots, then b

2

−4ac=0.

Here, a=k,b=−2k,c=6

kx(x−2)+6=0

kx

2

−2kx+6=0

4k

2

−4(k)(6)=0

4k

2

−24k=0

4k(k−6)=0

For k=0, equation is not quadratic.

k=6