Question

5 m - n =3m +4n तर पुढील राशीच्या किमती काढा: $\frac{m^2+n^2}{m^2-n^2}$

Answer 1

Solution :

Given 5m - n = 3m + 4n

=> 5m - 3m = 4n + n

=> 2m = 5n

$\implies\frac{m}{n}=\frac{5}{2}$

Let m = 5x , n = 2x

Now ,

$\frac{m^2+n^2}{m^2-n^2}$

=$\frac{(5x)^2+(2x)^2}{(5x)^2-(2x)^2}$

=$\frac{25x^2+4x^2}{25x^2-4x^2}$

=$\frac{29x^2}{21x^2}$

=$\frac{29}{21}$

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