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Create the equation (Posted on 2005-05-09)

One solution of the equation (x-a)(x-b)(x-c)(x-d)=25 is x=7.

If a, b, c, and d are different integers, find the value of a+b+c+d

See The Solution Submitted by Jer

Rating: 2.4286 (7 votes)

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solution

| Comment 2 of 10 |

The only ways you can make 25 with 4 integers is:

1x1x1x25, -1x-1x1x25, -1x1x1x-25 and
1x1x5x5, 1x-5x1x-5, 1x-1x5x-5

Putting these into the equation only give one solution with different values for a,b,c & d which is the last one (1x-1x5x-5) giving a=6, b=8, c=2, d=13 and the value of a+b+c+d=29

Posted by Lisa on 2005-05-09 12:41:17

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