SOLUTION: Suppose the roots of an equation 2x²+3px+5q differ by 1,find the equation connecting p and q

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Question 1015811: Suppose the roots of an equation 2x²+3px+5q differ by 1,find the equation connecting p and q
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
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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.


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