0=x^2+0.2x-0.02

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Solution for 0=x^2+0.2x-0.02 equation:



0=x^2+0.2x-0.02
We move all terms to the left:
0-(x^2+0.2x-0.02)=0
We add all the numbers together, and all the variables
-(x^2+0.2x-0.02)=0
We get rid of parentheses
-x^2-0.2x+0.02=0
We add all the numbers together, and all the variables
-1x^2-0.2x+0.02=0
a = -1; b = -0.2; c = +0.02;
Δ = b2-4ac
Δ = -0.22-4·(-1)·0.02
Δ = 0.12
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{-(-0.2)-\sqrt{0.12}}{2*-1}=\frac{0.2-\sqrt{0.12}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.2)+\sqrt{0.12}}{2*-1}=\frac{0.2+\sqrt{0.12}}{-2} $

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