Question

find the value of k for which the quadratic equation k^x^-2(k-1)x+4=0 has areal and equal roots​

Answer 1

Answer:

Given x

2

−2(k+1)x+k

2

=0 has real and equal roots

As we know that

for a quadratic equation to have real and equal roots ,discriminant should be zero

⟹(−2(k+1))

2

−4(1)(k

2

)=0

⟹(k+1)

2

−k

2

=0

⟹2k+1=0

⟹k=−

2

1