# What is the quadratic formula of 2x^2 - 2x = 1?

Oct 23, 2015

x= (2+-sqrt((-2)^2-4(2)(-1)))/(2(2)

#### Explanation:

The standard form of a quadratic equation is
$\textcolor{w h i t e}{\text{XXX}} {\textcolor{red}{a}}^{2} + \textcolor{b l u e}{b} x + \textcolor{g r e e n}{c} = 0$
and for this standard form the quadratic formula is
$\textcolor{w h i t e}{\text{XXX}} x = \frac{- \textcolor{b l u e}{b} \pm \sqrt{{\textcolor{b l u e}{b}}^{2} - 4 \textcolor{red}{a} \textcolor{g r e e n}{c}}}{2 \textcolor{red}{a}}$

$2 {x}^{2} - 2 x = 1$
can be converted into the standard form as
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{\left(2\right)} {x}^{2} + \textcolor{b l u e}{\left(- 2\right)} x + \textcolor{g r e e n}{\left(- 1\right)} = 0$