what are the roots in the equation x^2-5x+4x

Question

x^2-5x+4x=0

Answer 1

I'll assume you meant:        x^2  - 5x  +  4  =  0

 

You may (1) use the quadratic formula or (2) think of two numbers that add to -5 and multiply giving +4.

I used method (2) and got

       (x – 1) * (x – 4) = 0         This is true when  x- 1 or x = 4

 

Checking:

    Is  (1)^2  -5(1) + 4  = 0   ?

            1   -  5    +   4  = 0     Yes.

    Is (4)^2   -5(4)  + 4  = 0   ?

         16   - 20   +  4   =  0     Yes.