In the given equation ax^{2} + bx + c = 0

**Let α and β be the two roots **

Given α = 3β ……..1

α β = (product of the roots)

3 β^{2} = c / a ……….. by using 1

β^{2} = …………….2

α + β = \(-b/a\)

4β = \(-b/a\)

**Squaring both the sides**

16 β^{2} = \(b^2/a^2\)

**By using 2**

\(16\times\frac{c}{3a}=b^2/a^2\)

\(16/3=b^2/ac\)