Question

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Answer 1

equation

${x}^{4} - {3x}^{3} + 5 {x}^{2} - 2 = 0$

To find the equation whose roots are contrary to the roots of given equation

Sol: If the equation has contrary sign the only affected term will be odd degree term, as squaring the minus sign gives a positive sign term only. Hence the equation whose roots are contrary to the roots of given equation will be

${x}^{4} + {3x}^{3} + 5 {x}^{2} - 2 = 0$