0=7.24E+09+7.16E+06x-1772x^2

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Solution for 0=7.24E+09+7.16E+06x-1772x^2 equation:



0=7.24+09+7.16+06E-1772E^2
We move all terms to the left:
0-(7.24+09+7.16+06E-1772E^2)=0
We add all the numbers together, and all the variables
-(7.24+09+7.16+06E-1772E^2)=0
We get rid of parentheses
1772E^2-06E-7.24-09-7.16=0
We add all the numbers together, and all the variables
1772E^2-6E-23.4=0
a = 1772; b = -6; c = -23.4;
Δ = b2-4ac
Δ = -62-4·1772·(-23.4)
Δ = 165895.2
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{-(-6)-\sqrt{165895.2}}{2*1772}=\frac{6-\sqrt{165895.2}}{3544} $
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{165895.2}}{2*1772}=\frac{6+\sqrt{165895.2}}{3544} $

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