SOLUTION: if the roots of the quadratic equation {{{px^2+qx+r=0}}} differ by 4, show that {{{q^2=4p(4p+r)}}}. ThNK yOU for your help

SOLUTION: if the roots of the quadratic equation {{{px^2+qx+r=0}}} differ by 4, show that {{{q^2=4p(4p+r)}}}. ThNK yOU for your help

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Question 134785: if the roots of the quadratic equation differ by 4, show that . ThNK yOU for your help
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Using the quadratic formula, the roots of are:

and these two roots differ by 4, so:

In general, if the roots differ by , then
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