PLZ HELP DUE SOON also answer my other questions

For what value of a will this equation has only one real root:
(2a-5)x²-2(a-1)x+3=0

If you want the answer here you go a=4

2

Step-by-step explanation:

Equation at the end of step 1

  10•(x3))-3x2)-7x)+3)

 (————————————————————————•x)-1

             2            

STEP  

2

:

Equation at the end of step

2

:

  2•5x3)-3x2)-7x)+3)

 (——————————————————————•x)-1

            2            

STEP

3

:

           10x3 - 3x2 - 7x + 3

Simplify   ———————————————————

                    2          

Checking for a perfect cube :

3.1    10x3 - 3x2 - 7x + 3  is not a perfect cube