Question

If 7e+5/e = 26/3 , then the value of e is

Answer 1

Solution -

$\sf{ \bold { \underline { Given \: - }}} \\ \\ \sf{ \bold { \implies 7e + \dfrac{5}{e} = \dfrac{26}{3} }} \\ \\ \sf{ \bold { Taking \: the LCM \: at LHS \: - }} \\ \\ \sf{ \bold{ \implies \dfrac{7e^2+5}{e} = \dfrac{26}{3} }} \\ \\ \sf{ \bold{ Cross \: Multiplying \: - }} \\ \\ \sf{ \bold{ \implies 26e = 21e^2 + 15 }} \\ \\ \sf{\bold{ \implies 21e^2 - 26e + 15 = 0 }} \\ \\ \sf{ \bold { \implies Discriminant \: - \: \sqrt{[b^2-4a]} }} \\ \\ \sf{ \bold { \implies { Discriminant \: is \: -584}}$

As discriminant is less than 0, no real solution exists for the value of e.

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Note : Here e doesn't hold its usual value and is only a variable !!