Question

find the value of k for which the equation kx² -2(k-1)x+4=0 has real and equal roots

Answer 1

For real and equal roots
D=0
${b}^{2} - 4ac = 0 \\ ( { - 2k + 2} \: )^{2} - 4k \times 4 = 0 \\ {4k}^{2} + 4 + 16k - 16k = 0 \\ {4k}^{2} = - 4 \\ k = - 1$