the numerical difference of the roots of x^2 - 7x-9=0 is
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let α and β be the roots of the equation
then α+β = 7 , αβ= -9
α-β = √(α+β)^2-4αβ
= √49+36 = √85
hence the difference of roots is √85
then α+β = 7 , αβ= -9
α-β = √(α+β)^2-4αβ
= √49+36 = √85
hence the difference of roots is √85
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