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Question

If equations x2kx21=0 and x23kx+35=0;k>0 have a common root, then k is equal to:

A
-4
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B
5
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C
4
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D
-4 or 4
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Solution

The correct option is C 4

The equations x2kx21=0 and x23kx+35=0 have a common root.

So, equating the two equations:

x2kx21=x23kx+35

2kx=56

k=28x

Putting in the equation:

x22821=0

x2=49

x=+7

or k=+4,As,k>0,k=4.


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