Express the equation `cx^(2)+ax+b=0,cne0` in the form of a perfect square.

Explanation

Given that `cx^(2)+ax+b=0`
or, `x^(2)+(a)/(c)x+(b)/(c)=0` [Dividing by c, `:.cne0`]
or, `x^(2)+2.x.(a)/(2c)+((a)/(2c))^(2)+(b)/(c)=0+((a)/(2c))^(2)`
or, `(x+(a)/(2c))^(2)=(a^(2))/(4c^(2))-(b)/(c)`
or, `(x+(a)/(2c))^(2)=(a^(2)-4bc)/(4c^(2))`
Hence the perfect square form is : `(x+(a)/(2a))^(2)=(a^(2)-4bc)/(4c^(2))`