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Since $5\mathrm{x}^{2}+12\mathrm{x}+13=0$ has imaginary roots as $\mathrm{D}=144-4\times 5\times 13<0$ So, both roots of $\mathrm{a}\mathrm{x}^{2}+\mathrm{b}\mathrm{x}+\mathrm{c}=0$ and $5\mathrm{x}^{2}+12\mathrm{x}+13=0$ will be common $$

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