x^2-250x-750000=0

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Solution for x^2-250x-750000=0 equation:



x^2-250x-750000=0
a = 1; b = -250; c = -750000;
Δ = b2-4ac
Δ = -2502-4·1·(-750000)
Δ = 3062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3062500}=1750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-1750}{2*1}=\frac{-1500}{2} =-750 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+1750}{2*1}=\frac{2000}{2} =1000 $

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