LimitsHard

Question

If α and β be the roots of equation ax2 + bx + c = 0, then (1 + ax2 + bx + c)1/x-α is equal to

Options

A.a (α - β)
B.ln |a(α - β)|
C.ea(α - β)
D.ea|(α - β)|

Solution

α, β are the roots of the equation ax2 + bx + c = 0
∵  ax2 + bx + c = a(x - α)(x - β)
(a + ax2 + bx + c)1/x-α = = ea(α - β)

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