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If one root of the equation (x-1)(7-x)=m...

If one root of the equation `(x-1)(7-x)=m` is three times the other, then `m` is equal to

A

`-5`

B

`0`

C

`2`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `-x^(2)+8x-7=m implies x^(2)-8x+7+m=0`
`alpha+3alpha=8 implies alpha=2`
`alpha*3alpha=7+mimplies12=7+mimpliesm=5`
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