Hi,

So I was just wondering what are the different methods of solving Quadratic Equations.

And which one is the easiest or most useful to use ?

thanks (Wink)

Printable View

- Apr 24th 2013, 11:02 AMfanna1119Methods to Solve Quadratic Equations ?
Hi,

So I was just wondering what are the different methods of solving Quadratic Equations.

And which one is the easiest or most useful to use ?

thanks (Wink) - Apr 24th 2013, 11:21 AMHallsofIvyRe: Methods to Solve Quadratic Equations ?
1) Factor. If $\displaystyle ax^2+ bx+ c= (x- \alpha)(x- \beta)= 0$ then x= a and x= b are roots. One can theoretically

**always**factor but there are just too many ways to try unless you restrict to integer coefficients. And not all quadratics can be factored with integer coefficients.

2) Complete the square. If $\displaystyle ax^2+ bx+ c= a(x- \alpha)^2+ \beta= 0$ then $\displaystyle x= \alpha\pm \frac{\sqrt{-beta/a}}{a}$.

3) Use the quadratic formula. Applying "complete the square" to the general $\displaystyle ax^2+ bx+ c= 0$ gives $\displaystyle x= \frac{-b\pm\sqrt{b^2- 4ac}}{2a}$.