Question

ANSWER THE QUESTION PLEASE​

Answer 1

Answer:

The value of k for 2x² + kx + 3 = 0 is ±2√6.

Step-by-step explanation:

The quadratic polynomial given here is :

➠ 2x² + kx + 3 = 0

Given that, it is having two equal roots, which means :

Discriminant (D) : b² – 4ac = 0

So, if a particular polynomial has 0 as its discriminant, then it has two real and equal roots.

Now, when we compare 2x² + kx + 3 = 0 to ax² + bx + c = 0, we get :

• a = 2
• b = k
• c = 3

Now, in order to find k, we’ll substitute these values in the discriminant formula and equate it to zero :

➠ b² – 4ac = 0

➠ k² – 4 ( 2 ) ( 3 ) = 0

➠ k² – 24 = 0

➠ k² = 24

➠ k = √24

➠ k = √4 × √6

➠ k = ±2√6

Therefore, the value of k has to be ±2√6 for the equation.