Question

If p and q are the roots of the equation x ^2 -bx+c=0, then what is the equation if the roots are (pq+p+q) and (pq-p-q)? [quovantis18]

Answer 1

Its very easy

Explanation:

the sum is pq+p+q+pq-p-p=2pq

and product is p²q²-(p+q)²

as p and q are roots of the equation x^2 -bx+c

pq=c

p+q=b

So above product in terms of b and c is c^2-b^2

and sum is 2c

So equation is x^2-2cx+c²-b²

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