Question

Solve for X, using quadratic formula 1/x-1/x-2=3, x not equal to 0,2

Answer 1

Hi ,

1/x - 1/( x - 2 ) = 3

[ ( x - 2 - x ) ]/[ x ( x - 2 ) ] = 3

=> -2 = 3x( x - 2 )

=> 3x² - 2x = -2

divide each term with 3 , we get

x² - 2x/3 = -2/3

x² - 2 × x ×1/3 = -2/3

x² - 2 × x × 1/3 + ( 1/3 )² = ( 1/3 )² - 2/3

( x - 1/3 )² = 1/9 - 2/3

( x - 1/3 )² = ( 1 - 6 )/9

x - 1/3 = ± √(-5 ) /3

x = 1/3 ± √5 i /3

x = ( 1 ± √5i )/3

I hope this helps you.

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