Question

How to solve quadratic equation

Answer 1

If there is any equation of the format ax^2+bx+c=0 then you can use the formula 

x=(-b + √ b^2-4ac)/2a or (-b -√ b^2-4ac)/2a to find the roots of the quadratic equation.

Answer 2

There many ways to solve a quadratic equation.
1. Try to find factors of Left hand side and equate each to zero, to get the solution. Splitting of terms is commonly used for this method.
Ex.
$x^{2} +4x+4=0$4x
must be splitted in such a way the product of the splitted terms is equal to the product of the coefficient of $x^{2}$ and constant term.
Therefore, $x^{2} +(2x+2x)+4=0$
$x(x+2)+2(x+2)=0$
$(x+2)(x+2)=0$
On equating the factors to zero we get,
$x=-2,-2$
2. You can use quadatric formula.
For equation of form,
ax^2+bx+c=0x=
$x= \frac{-b \frac{+}{-} \sqrt{b^{2}-4ac } }{2a}$