Question

6) Find the value of k for which, the equation 2x² + box + 3 = 0 has two equal roots.​

Answer 1

Answer:

the value of k = 2√6 or - 2√6.

Step-by-step explanation:

We have to find the values of K for quadratic equation 2x² + Kx + 3 = 0 , so that they have 2 equal roots.

Quadratic equation will be equal only when,

Discriminant, D = b² - 4ac = 0

On comparing 2x² + Kx + 3 = 0 with general form of quadratic equation , ax² + bx + c = 0 we get , a = 2 , b = k , c = 3

So, discriminant, D = ( k )² - 4 ( 3 ) ( 2 ) = 0

Or k² - 24 = 0

Or k = ± √24 = ± 2√6

Hence , the value of k = 2√6 or - 2√6.

Answer 2

Step-by-step explanation:

see the above attachment