Question

Find the value of k if the equation k^2 x^2-2(k-1)x+4=o has equal roots.

Answer 1

Answer:

if it having equal roots then

b²-4ac=0

=(-2k+2)²-4×1×4=0

=4k²+4-8k-16=0

=4k²-8k-12=0

=k²-2k-3=0

=k²-3k+k-3=0

=k=3 or k=-1

.