Question

Q12. If the quadratic equation x? - 2x + k = 0 has equal roots, then find the value of k
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Answer 1

ANSWER

K=1

Step-by-step explanation:

for equal roots

b2- 4ac =0. ( b square)

(2)2 - 4(1)(k)=0

4 - 4k = 0

4k = 4

k = 1

Answer 2

$\LARGE\star\mathfrak{\underline{\underline{\red{answer: }}}}$

$x { }^{2} - 2x + k = 0$

$a = 1 \\ b = - 2 \\ c = k$

$disciminent \: (d) = b {}^{2} - 4ac$

ғᴏʀ ᴇǫᴜᴀʟ ʀᴏᴏᴛs :-

$d = 0$

$d = b {}^{2} - 4ac \\ 0 = ( - 2) {}^{2} - 4(1)(k) \\ 0 = 4 - 4k \\ - 4k = - 4 \\ k = \frac{ - 4}{ - 4} \\ \boxed{ \sf k = 1}$