SOLUTION: Find values of n in the equation 2x^2 - 5(n-1)x +12=0 if the two roots are consecutive.

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Question 1118753: Find values of n in the equation
2x^2 - 5(n-1)x +12=0 if the
two roots are consecutive.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Looking at a few factorization trial combinations for the quadratic lead to

and these roots are -3 and -2, which are consecutive integers.


Steps from that and then compare to the given quadratic expression:



from which corresponding parts give



Find n from that last equation.

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
Find values of n in the equation
2x^2 - 5(n-1)x +12=0
if the two roots are consecutive .
~~~~~~~~~~~~~~~~~~~~~~~~~~


1.   Why you can not write the condition accurately and correctly ?   Why I should edit your writing ?


2.   The answer by @josgarithmetic in uncompleted.

        The complete answer is  THIS:

        There are two solutions.  One solution is:  the roots are  2  and  3,  and  n = 3.

        The other solution is:  the roots are  -3  and  -2,  and  n = -1.



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