360000000-2000x-0.01x^2=0

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Solution for 360000000-2000x-0.01x^2=0 equation:



360000000-2000x-0.01x^2=0
a = -0.01; b = -2000; c = +360000000;
Δ = b2-4ac
Δ = -20002-4·(-0.01)·360000000
Δ = 18400000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{18400000}=\sqrt{160000*115}=\sqrt{160000}*\sqrt{115}=400\sqrt{115}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2000)-400\sqrt{115}}{2*-0.01}=\frac{2000-400\sqrt{115}}{-0.02} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2000)+400\sqrt{115}}{2*-0.01}=\frac{2000+400\sqrt{115}}{-0.02} $

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