Prove that equations (q-r)x2 + (r-p)x + p -q=0 and (r-p)x2 + (p-q)x + q-r=0 have a common root
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Consider the given equations:
and
Comparing these equations to the general form of the quadratic equation,
we get
The equations have a common root when
Consider
=
=
=
=
Consider
=
=
=
Therefore,
Hence, the given equations have a common root.
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