You can put this solution on YOUR website! .
Suppose the roots of an equation 2x²+3px+5q differ by 1,find the equation connecting p and q
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Actually, there is no equation here.
You missed the sign "=" and the right side.
But if it is = , then the roots are
= ,
= .
The difference - (in this order) is
= .
It is equal to 1 (or -1):
= +/-1.
Square both sides:
(9p^2 - 40q)/4 = 1, or 9p^2 - 40q = 4.
It is your equation for p and q.