Hello Surjit,
Let α and β are roots of: x 2 - 6x + a = 0 Let α and γ are roots of: x 2 - cx + 6 = 0 So, α + β = 6 and α.β = a and α + γ = c and α.γ = 6 and β/γ = 4/3 α.β/α.γ = a/6 β/γ = a/6 a = 8
x 2 - 6x + a = 0 x 2 - 6x + 8 = 0 x = 2,6 But α.β = 8 hence α = 2
Answer is 2
Hope this Helps
Question : If the sum of the roots of a quadratic equation is 1 and the product of the roots is –20, find the quadratic equation.
Option 1: $x^{2}–x–20=0$
Option 2: $x^{2}+x+20=0$
Option 3: $x^{2}+x–20=0$
Option 4: $x^{2}–x+20=0$
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