-56=-0.04x^2+1.3x+56

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Solution for -56=-0.04x^2+1.3x+56 equation:



-56=-0.04x^2+1.3x+56
We move all terms to the left:
-56-(-0.04x^2+1.3x+56)=0
We get rid of parentheses
0.04x^2-1.3x-56-56=0
We add all the numbers together, and all the variables
0.04x^2-1.3x-112=0
a = 0.04; b = -1.3; c = -112;
Δ = b2-4ac
Δ = -1.32-4·0.04·(-112)
Δ = 19.61
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{-(-1.3)-\sqrt{19.61}}{2*0.04}=\frac{1.3-\sqrt{19.61}}{0.08} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.3)+\sqrt{19.61}}{2*0.04}=\frac{1.3+\sqrt{19.61}}{0.08} $

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