E(x)=56x*x+80x+24

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Solution for E(x)=56x*x+80x+24 equation:



(E)=56E*E+80E+24
We move all terms to the left:
(E)-(56E*E+80E+24)=0
We add all the numbers together, and all the variables
E-(80E+56E*E+24)=0
We get rid of parentheses
E-80E-56E*E-24=0
We add all the numbers together, and all the variables
-79E-56E*E-24=0
Wy multiply elements
-56E^2-79E-24=0
a = -56; b = -79; c = -24;
Δ = b2-4ac
Δ = -792-4·(-56)·(-24)
Δ = 865
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-\sqrt{865}}{2*-56}=\frac{79-\sqrt{865}}{-112} $
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+\sqrt{865}}{2*-56}=\frac{79+\sqrt{865}}{-112} $

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