If the roots of equation x^2-3x+1=0 are a,b then the equation whose roots are 1/a-2,1/b-2 are
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Sum of Roots = -(coefficient of x )/ coefficient of x²
Product of Roots = Constant term/ coefficient of x²
and General formula of Quadratic Equation
k[ x² - ( sum of roots)x + product of roots]
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