Question

2x²- ( P + 1 ) x + P - 1 = 0
P = ?

Answer 1

Answer:

hope this may help you

Step-by-step explanation:

refer the attachment

Answer 2

Since α + β = [p + 1] / 2 and αβ = [p – 1] / 2

It is given that α – β = αβ

⇒ (α – β)² = α²β²

⇒ (α + β)² – 4 αβ = α²β2²

⇒ [[p + 1] / 2]² – 4 [p + 1] / 2 = {[p – 1] / 2}²

⇒ [[p + 1] / 2]² – {[p – 1] / 2}² = 4 [p – 1] / 2

⇒ p = 2 (p – 1)

∴ p = 2