Question

OR
If the quadratic equation x2 - 2x + k = 0 has equal roots, then value of k is
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Answer 1

if the equation has equal zeros so d will be 0.

0=b²-4ac

0=4-4*1*k

-4=-4k

k= 1

Answer 2

Answer:

p(x)=x²–2x+k=0

Here, a=1, b=–2, c=k

For Equal roots, Discriminant=0

i.e., b²–4ac=0

b²=4ac

=>(–2k)²=4(1)(k)

=>4k²=4k

=>k=1 is the value of "k" for p(x) with equal roots.