write an equation that has the sum of its roots as 3? (given that answer= x^2-3x+2)

Answer :

Given Sum of roots  =  3 

But only from this information , we can't find equation as given ( x² - 3x  +  2 ) .

As we know our equation , As :

x² - (  Sum of roots ) x  + (  Product of roots ) = 0

So, If we only know Sum of roots , we get

x² -3 x  + (  Product of roots ) = 0

If There is given product of roots  =  2 , than we get

x² - 3x  +  2

So,
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