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Solve the Following Equation: M/N X2 + N/M = 1- 2x - Mathematics

Sum

Solve the following equation:  `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`

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Solution

`"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`

Multiply by mn 

m2x2 + n2 = mn - 2mnx 

(mx+ n)2 = mn 

mx + n =± `sqrt "mn"`

mx = - n ± `sqrt "mn"`

x = `(-"n" ± sqrt "mn")/"m"`

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 26
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