For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and coefficients in each case:
2x+ x–5x + 2; 1/2, 1,–2 

Let p(x) = 2x3+x2–5x + 2 Comparing the given polynomial with ax3 + bx

+ cx + d, we get
                    

For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

Now, 
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                     
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                           
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                          

For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?


          
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                    
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

and   
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                  
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

∴   
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?
 are the zeroes of 
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

Hence, verified.Here, we have

For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?


Now,    
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

         
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

                            
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?

and       
For what value of k the zeros of the polynomial x square 5 x K are differ by one that is alpha minus beta is equal to 1?
    
                                   Hence verified.