Question

Find the value of k for which of the following quadratic equation so that the equal rules k X square + 4 X + 1 is equal to o?

Answer 1

Answer:

k=4

Step-by-step explanation:

equal roots means( b*b) -4*a*c=0

and on putting the respective values k=4

Answer 2

Given :-

• Quadratic equation : kx² + 4x + 1 = 0 has equal roots.

To find :-

• Value of k = ?

Solution :-

As the given equation has equal roots,so its discriminate = 0

⋆ Discriminate formula :

⇒ D = b² - 4ac = 0

Now, comparing the given equation with ax² + bx + c, we get :

• a = k
• b = 4
• c = 1

Now putting values :

⇒ 4² - (4 × k × 1) = 0

⇒ 16 - 4k = 0

⇒ -4k = -16

⇒ k = -16/-4

⇒ k = 4

Therefore,

∴ Required value of k = 4 .