# SPM Practice Question (Quadratic Equation) - Question 6

Question 6(The roots of new quadratic equation are the reciprocal of the roots of quadratic equation given)

Write down and simplify the equation whose roots are the reciprocals of the roots of $3{x}^{2}+2x-1=0$  , without solving the given equation.

[Note : Quadratic equation given, roots=$\alpha ,\beta$
New quadratic equation, roots =$\frac{1}{\alpha },\frac{1}{\beta }$ (Reciprocals of $\alpha ,\beta$ )]