Question

value of p the difference between the roots of equation X square - px + 8 is equal to zero is2​

Answer 1

Answer:

p = 4

Step-by-step explanation:

-b/2a = 2

p/2= 2

p= 4

hence proved

Answer 2

Step-by-step explanation:

Given equation :

x² + px + 8 = 0 .....(i)

Let, α and β are roots of (i).

Then,

α + β = - p .....(ii)

and

αβ = 8 .....(iii)

Given :

α - β = 2

=> (α - β)² = 2²

=> (α + β)² - 4αβ = 4

=> p² - (4 × 8) = 4

=> p² - 32 = 4

=> p² = 32 + 4 = 36 = 6²

=> p = ± 6

So, the required values of p are

p = ± 6.