Question

The roots of X+(1/X)=5/2 are

Answer 1

Answer:

multipy each term by x,

x²+1=5/2x

x²-5/2x+1=0

multiply each term by 2,

2x²-5x+2=0

by factorisation method,

2x²-4x-1x+2=0

2x(x-2)-1(x-2)=0

(x-2)(2x-1)=0

x-2=0 or 2x-1=0

x=2 or x=1/2

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