In the given equation ax² + bx + c = 0

Let α and β be the two roots

Given α = 3β ……..1

α β = (product of the roots)

3 β² = c / a ……….. by using 1

β² = …………….2

α + β =

4β =

Squaring both the sides

16 β² =

By using 2

16 x =

= b²/ac