If the roots of the equation \( a x^{2}+2 c x+b=0 \) are real and distinct, then show that the r...

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If the roots of the equation \( a x^{2}+2 c x+b=0 \) are real and distinct, then show that the roots of the equation \( x^{2}-2(a+b) x+a^{2}+b^{2}+2 c^{2}=0 \) are non-real complex numbers.
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