If \( a, b, c, d \in \mathbf{R} \) show that the roots of the equation
\[
\left(a^{2}+c^{2}\righ... VIDEO
If \( a, b, c, d \in \mathbf{R} \) show that the roots of the equation
\[
\left(a^{2}+c^{2}\right) x^{2}+2(a b+c d) x+\left(b^{2}+d^{2}\right)=0
\]
cannot be real unless they are equal.
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