If alpha and beta are the root of the equation x sup2 3x 2 0 and alpha and gamma are the r...........

Quantitative Aptitude (CDS) Quadratic Equations

If α and β are the root of the equation x²-3x+2 = 0 and α and γ are the root of the equation x²-4x+3 = 0 and α and δ are the root of the equation x²-1=0 then find the value of β+2γ +3 δ

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Explanation:

the root of the equation x²-3x+2 = 0 are 1 , 2 and the root of the equation x²-4x+3 = 0 are 1 , 3 and the root of the equation x²-1=0 are 1, -1
hence β=2 ,γ=3 ,δ= -1
so β+2γ +3 δ = 5.