Question

if alpha and beta are the zeroes of the polynomial 5x^2 -2x-3,find the polynomial whose zeroes are 1/alpha and 1/beta?​

Answer 1

Answer:

Given α,β are the roots of 2x2−3x+5=0⋯(1)

To get the quadratic equation whose roots are α1,β1

Replace x by x1 in (1)

⟹x22−x3+5=0⟹5x2−3x+2=0

Step-by-step explanation:

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