Math, asked by Anonymous, 1 year ago

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Answered by Anonymous
6
Heya

_______________________________

x - 2 - x = 3x² - 6x

=>

3x² - 6x + 2 = 0

The above quadratic equations have two roots Viz m And n

x = m OR x = n

=>

3m² - 6m + 2 = 0

=>

m =( 6+- 2√3 )/6

=>

m = ( 3 +- √3 ) / 3

And

3n² -6n + 2 = 0

=>

n = (6 +- 2√3 ) /6

=>

n = (3 +- √3 ) /3

So,

m × n = {( 3 + √3 ) /3}× {( 3 + √3 )/3}

=>

m × n = ( 3 + √3 )²/9

=>

m × n =( 9 + 3 + 6√3 )/9

=>

m × n = (2/3)( 2 + √3 )

OR

m × n =(2/3) ( 2 - √3 )

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