If , are the roots of x^2+p x-q=0 and , are roots of x^2-p x+r=0 then what is ( + )( + ) equal to?

Step-by-step solution

, are the roots of x^2+p x-q=0 + =-p and =-q , are roots of x^2-p x+r=0 , are roots of x^2-p x+r=0 + =+p and =r( + )( + )= ^2+ + + =q+r [ . is the root of .x^2+p x-q=0 ^2+p =q ]