# SPM Practice Question (Quadratic Equation) - Question 5

Question 5 (New quadratic equation double the roots of quadratic equation given)

Write down and simplify the equation whose roots are double the roots of $3{x}^{2}-5x-1=0$  , without solving the given equation.

[Note : Quadratic equation given, roots =$\alpha ,\beta$
New quadratic equation (double the roots), roots =$2\alpha ,2\beta$ ]