The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find b.

Given that the difference between the roots of the equation  is .

Recall that the sum of roots of a quadratic equation is given by .

Let the two roots of the equation be  and , then 

. . . (1)

Also recall that the product of the two roots of a quadratic equation is given by , thus:

. . . (2)

From (1), we have:



Substituting for alpha into (2), gives:

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