How many roots of the equation (x-1)(x-2)(x-3)+(x-1)(x-2)(x-4) +( | Filo
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Class 12

Math

Calculus

Application of Derivatives

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How many roots of the equation \displaystyle{\left({x}-{1}\right)}{\left({x}-{2}\right)}{\left({x}-{3}\right)}+{\left({x}-{1}\right)}{\left({x}-{2}\right)}{\left({x}-{4}\right)}+{\left({x}-{2}\right)}{\left({x}-{3}\right)}{\left({x}-{4}\right)}+{\left({x}-{1}\right)}{\left({x}-{3}\right)}{\left({x}-{4}\right)}={0} are positive?

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