roots

if the roots of the equation x²-px+q=0 differ by unity then p²=

2 Answers

x1+x2=p
|x1-x2|=1
x1x2=q

you need to eliminate x1 and x2
(there is a very simple standard trick..) .... just think..

(a+b)²=(a-b)²+4ab

use x1 and x2 instead of a and b

so p²=1²+4q

p²=1+4q

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