If `alpha,beta` are roots of the equation `x^2+l x+m=0` , write an equation whose roots are `-1/alpha\ and-1/beta.`

Answer

`m x^{2}- l x+1=0`

Explanation

Given equation:



`x^{2}+l x+m=0`



Also,

`\alpha` and `\beta `are the roots of the equation.

Sum of the roots `=\alpha+\beta=\frac{-l}{1}=-l`

Product of the roots `=\alpha \beta=\frac{m}{1}=m`

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