Question

find the value of k​

Answer 1

Answer:

k= 8

Step-by-step explanation:

Let the zeros be α and β ,

given : α = α and β = 1/α

Equation : 4x² - 2x + ( k - 4 )

Here , a = 4 , b = -2 , c = ( k - 4 )

We know , αβ = c/a

⇒ α x 1/α = ( k - 4 ) / 4

⇒ 1 = ( k - 4 ) / 4

⇒ k - 4 = 4

∴ k = 4 + 4 = 8