Question

if alpha and beta are the zeroes of the quadratic polynomial p(x)=4x×x-4x+1, find the value of alpha÷beta + beta ÷alpha​

Answer 1

Answer:

2

Step-by-step explanation:

4x²-4x+1

a=4,b=-4,c=1

∴α+β=-b/a=1

∴αβ=c/a=1/4

∴α/β + β/α

=α²+β²/αβ

=(α+β)²-2αβ/αβ

=(1- 1/2)/1/4

=(1/2)/1/4

=2

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