Consider the quadratic equation, \( \left(\log _{10} 8\right) x^{2}-\left(\log _{10} 5\right) x ...

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Consider the quadratic equation, \( \left(\log _{10} 8\right) x^{2}-\left(\log _{10} 5\right) x \) \( =2\left(\log _{2} 10\right)^{-1}-x \). Which of the following quantities are irrational.
(a) Sum of the roots
(b) Product of the roots
(c) Sum of the coefficients (d) Discriminant
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