Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer

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Shreebele123

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19 answers

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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

Answer 2

Answer:

2tx²-8x-2

a=2t

b=-8

c=-2

if the equation has equal roots

b²-4ac=0

$(- 8 )^{2} - 4(2t)( - 2) = 0 \\ 64 + 16t = 0 \\ 16t = - 64 \\ t = - 64 \div 16 \\ t = - 4$

Step-by-step explanation:

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