Question

2x^2-80x+400=0 ,split the middle term​

Answer 1

Step-by-step explanation:

2x²-80x+400=0

x²-40x+200=0 ....(Divided both sides by 2)

Find two factors of  -200  whose sum equals the coefficient of the middle term, which is   -40 .

     -200   +   1   =   -199  

  -100   +   2   =   -98   

 -50   +   4   =   -46   

 -40   +   5   =   -35    

-25   +   8   =   -17    

 -20   +   10   =   -10    

 -10   +   20   =   10    

 -8   +   25   =   17    

 -5   +   40   =   35   

  -4   +   50   =   46   

  -2   +   100   =   98  

   -1   +   200   =   199

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

You can use formula method to solve this equation.