(x^2)-2x=-0.84

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Solution for (x^2)-2x=-0.84 equation:



(x^2)-2x=-0.84
We move all terms to the left:
(x^2)-2x-(-0.84)=0
We add all the numbers together, and all the variables
x^2-2x+0.84=0
a = 1; b = -2; c = +0.84;
Δ = b2-4ac
Δ = -22-4·1·0.84
Δ = 0.64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-\sqrt{0.64}}{2*1}=\frac{2-\sqrt{0.64}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{0.64}}{2*1}=\frac{2+\sqrt{0.64}}{2} $

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