0=-0.8x^2+12x+25.8

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Solution for 0=-0.8x^2+12x+25.8 equation:



0=-0.8x^2+12x+25.8
We move all terms to the left:
0-(-0.8x^2+12x+25.8)=0
We add all the numbers together, and all the variables
-(-0.8x^2+12x+25.8)=0
We get rid of parentheses
0.8x^2-12x-25.8=0
a = 0.8; b = -12; c = -25.8;
Δ = b2-4ac
Δ = -122-4·0.8·(-25.8)
Δ = 226.56
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{-(-12)-\sqrt{226.56}}{2*0.8}=\frac{12-\sqrt{226.56}}{1.6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+\sqrt{226.56}}{2*0.8}=\frac{12+\sqrt{226.56}}{1.6} $

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