Posted by preet0099 help me ! on Wednesday, December 5, 2012 at 7:49am.
the discriminant is
4(ac+bd)^2 - 4(a^2+b^2)(c^2+d^2)
junk the 4, as it does not change things, and you have
a^2c^2 + 2abcd + b^2d^2 - a^2c^2 - a^2d^2 - b^2c^2 - b^2d^2
= 2abcd - a^2d^2 - b^2c^2
= -(ad-bc)^2
since that is always negative, there are no real roots.
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