In the class, the teacher is explaining how to solve a quadratic equation by completing the square method. He says that every quadratic equationax2+bx+c=0 can be written as (Ax+B)2 = C. Is it true or false?
ax2+bx+c=0 can be written as x2+(ba)x+(ca)=0 [when we divide the entire equation with "a"]
This can be written as
i.e, it can be simplified as (x+b2a)2-(b2−4ac4a2)=0
Therefore (x+b2a)2 = (b2−4ac4a2)
Every quadratic equation can be written as (Ax+B)2 = C
So, the teachers statement is true.