Question

the solution of the quadratic equation x2-b2=a(2x-a)​

Answer 1

Answer:

a+b

Step-by-step explanation:

x  

2

−b  

2

=a(2x−a)

∴x  

2

−2ax+a  

2

−b  

2

=0

∴x=  

2

2a±  

4a  

2

−4(a  

2

−b  

2

)

​  

 

​  

 

∴x=  

2

2a±  

4b  

2

 

​  

 

​  

 

∴x=  

2

2a±2b

​  

 

∴x=a±b