(i) If the roots of x2 + kx +k=0 are real and equal, what is the value of k?
(A) 0 (B) 4 (C) 0 or 4 (D) 2
...Hey everyone it is x square.
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0 or 4
Step-by-step explanation:
To roots to be real and equal, discriminant of the equation must be 0.
Discriminant of ax² + bx + c = 0 is given by b² - 4ac. On comparing,
a = 1, b = k, c = k
⇒ discriminant = 0
⇒ k² - 4(1)(k) = 0
⇒ k² - 4k = 0
⇒ k(k - 4) = 0
⇒ k = 0 or k - 4 = 0
⇒ k = 0 or k = 4
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