0=-0.04x^2+2x+20

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Solution for 0=-0.04x^2+2x+20 equation:



0=-0.04x^2+2x+20
We move all terms to the left:
0-(-0.04x^2+2x+20)=0
We add all the numbers together, and all the variables
-(-0.04x^2+2x+20)=0
We get rid of parentheses
0.04x^2-2x-20=0
a = 0.04; b = -2; c = -20;
Δ = b2-4ac
Δ = -22-4·0.04·(-20)
Δ = 7.2
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{7.2}}{2*0.04}=\frac{2-\sqrt{7.2}}{0.08} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{7.2}}{2*0.04}=\frac{2+\sqrt{7.2}}{0.08} $

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