We know that, A quadratic equation ax2 + bx + c = 0 has equal roots if and only if D = 0Where,D(Discriminant) = b2 - 4acIn the given equation,a = kb = -kc = 1Putting values, we getD = (-k)2- 4(k)(1)⇒ 0 = k2 - 4k⇒ k2 = 4k⇒ k = 4

Q. 74.8( 4 Votes )

Find the value(s)

Class 10th

Answer :

We know that, A quadratic equation ax² + bx + c = 0 has equal roots if and only if D = 0

Where,

D(Discriminant) = b² - 4ac

In the given equation,

a = k

b = -k

c = 1

Putting values, we get

D = (-k)²- 4(k)(1)

⇒ 0 = k² - 4k

⇒ k² = 4k

⇒ k = 4

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