Question

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

Answer 1

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

Explanation:

The standard form of a quadratic equation is
`color(white)("XXX")color(red)(a)^2+color(blue)(b)x+color(green)(c)=0`
and for this standard form the quadratic formula is
`color(white)("XXX")x=(-color(blue)(b)+-sqrt(color(blue)(b)^2-4color(red)(a)color(green)(c)))/(2color(red)(a))`

`2x^2-2x=1`
can be converted into the standard form as
`color(white)("XXX")color(red)((2))x^2+color(blue)((-2))x+color(green)((-1))=0`