Question

Choose the correct answer from the given four options :

If the equation 3x² – kx + 2k =0 roots, then the the value(s) of k is (are)

विकल्प

• 6

• 0 Only

• 24 only

• 0

Answer 1

3x² – kx + 2k = 0
Here, a = 3, b = -k, c = 2k
b² – 4ac
= (–k)² – 4 x 3 x 2k
= k² – 24k
∴ Roots are equal.
∴ b² – 4ac = 0
∴ k² – 24k = 0
⇒ k(k – 24) = 0
Either k = 0
or
k - 24 = 0,
then k = 24
∴ k = 0, 24.