Question

What value of t the equation 2x(tx – 4) = 2 has equal roots ?​

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

Step-by-step explanation:

Answer 2

Answer:

2tx²-8x-2

a=2t

b=-8

c=-2

if the equation has equal roots

b²-4ac=0

(−8) ² −4(2t)(−2)=0

64+16t=0

16t=−64

t=−64÷16

t=−4