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Derivative of Standard Functions

If alpha and ...

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If alpha and beta are the roots of the equation x^2+6x+lamda=0 and 3alpha+2beta=-20,then lamda=

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α, β

are roots of equation

x^{2} + 6 x + λ = 0

3 α + 2 β = - 20

λ

Q. If alpha and beta are the zeros of 2x2-5x+7,then find a quadratic polynomial whose zeros are 2alpha+3beta and 2beta+3alpha

α

β

are roots of the equation

x^{2} + 6 x + λ = 0

3 α + 2 β = - 20

λ

α

β

are the roots of the equation

2 x^{2} + 6 x + b = 0 (b < 0,

\frac{α}{β} + \frac{β}{α}

α, β

are roots of the equation

2 x^{2} + 6 x + b = 0 (b < 0)

\frac{α}{β} + \frac{β}{α}

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