Question

if a and b are the zeros of the quadratic polynomial x^2-6x+a, find the value of a if 3a+2b=20

Answer 1

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Given��and��are roots of�
Sum of the roots of a quadratic polynomial =�

�→��(1)
3+2�=20�
�[From (1)]
�

β = − 2
Put�β = − 2�in�
⇒ α = 6 −( − 2) = 8
Product of the roots of the quadratic polynomial =�


4 × − 2 = a
∴�a = 8�