0.4x^2-1.6x-12.8=0

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Solution for 0.4x^2-1.6x-12.8=0 equation:



0.4x^2-1.6x-12.8=0
a = 0.4; b = -1.6; c = -12.8;
Δ = b2-4ac
Δ = -1.62-4·0.4·(-12.8)
Δ = 23.04
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{-(-1.6)-\sqrt{23.04}}{2*0.4}=\frac{1.6-\sqrt{23.04}}{0.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.6)+\sqrt{23.04}}{2*0.4}=\frac{1.6+\sqrt{23.04}}{0.8} $

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