Question

if the roots of the equation x2+px+q=0x2+px+q=0
differ by 1 then​

Answer 1

Step-by-step explanation:

Given equation x^2+px+q=0

Let the roots be α,β

α+β=−p and αβ=q

Now, (α−β)^2=(α−β)^2 −4αβ

⇒(α−β)^2=p^2 −4q

Given ∣α−β| =1

(α−β)^2=1

p^2 −4q=1