If the equation x^2-3x=a snd x^2-4x=5 have a common root, then value of a^2-14a+41=

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22 May 2013 equations

If the equation x^2-3x=a snd x^2-4x=5 have a common root, then value of a^2-14a+41=

OPtion

1) 0
2) 1
3) 2
4) 3
5) 4
6) 5
7) 6
8) 7
9) 8
10) None of these

Solution

Let k be the coommon root
therefore k^2-3k=a & k^2-4k=5
k=a-5
therefore
(a-5)^2-3(a-5)=a
a^2-14a+40=0
so a^2-14a+41=1
option 2

Correct Option: 2 Best Solution (0)