quadratic

 

The quadratic equation $x^2-5x+5=-4x+7$ has two roots. Find the absolute difference of these roots.  

 

                                         x^2-5x+5=-4x+7  

 

Combine like terms           x² – x – 2  =  0  

 

Factor the quadratic         (x – 2)(x + 1)  =  0  

 

So, the roots are                 x  =  2  

                                           x  =  –1   

 

Can you take it from there?  

_.