What is the quadratic formula of $2 x^{2} - 2 x = 1$ $2x^2 - 2x = 1$ ?

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What is the quadratic formula of $2 x^{2} - 2 x = 1$ $2x^2 - 2x = 1$ ?

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Answer 1 · 2015-10-23T23:31:50

$x = \frac{2 \pm \sqrt{{(- 2)}^{2} - 4 (2) (- 1)}}{2 (2)}$ $x= (2+-sqrt((-2)^2-4(2)(-1)))/(2(2)$

Explanation:

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

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

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What is the quadratic formula of $2 x^{2} - 2 x = 1$ $2x^2 - 2x = 1$ ?

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Explanation:

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What is the quadratic formula of $2 x^{2} - 2 x = 1$ $2x^2 - 2x = 1$ ?