сократите 8х-4 2х^2-11х+5

Question

сократите

8х-4

2х^2-11х+5

Answer 1

D=121-40=81

x1,2=11±9/4

x1=5

x2=1/2

(8x-4)÷2(x-5)(x-1/2)=4(2x-1)÷(x-5)(2x-1)=4÷(x-5)

Answer 2

  8x- 4                    4 (2х-1)                   4

----------------  = ---------------------=  --------------

2x^2-11x+5          (х-5) (2х-1)              х-5

 

Разложим знаменатель на множители:

2x^2- 11x+5 = 0

     11+-√121-40

x=---------------------

                4

          11+-9

x= ---------------

                4

 

x= 5

x= 1/ 2

2x^2- 11x+5= 2 (х-5) (х-1/2) = (х-5) (2х-1)