Question

The equation 2xᒾ +Kx +3 = 0 has 2 equal roots, then the value of K is : ​

Answer 1

Answer :

k = 2√6

Step-by-step explanation :

=> The equation 2xᒾ + Kx + 3 = 0 has 2 equal roots.

        The equation is of the form ax² + bx + c

         a = 2, b = k , c = 3

=> The rule for having having equal roots is

      Discriminant, D = b² - 4ac = 0

⇒ k² - 4(2)(3) = 0

   k² - 24 = 0

   k² = 24

   k = √24

   k = √6×4

   k = 2√6