0.005x2+4x-1000=0

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Solution for 0.005x2+4x-1000=0 equation:



0.005x^2+4x-1000=0
a = 0.005; b = 4; c = -1000;
Δ = b2-4ac
Δ = 42-4·0.005·(-1000)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-6}{2*0.005}=\frac{-10}{0.01} =-1000 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+6}{2*0.005}=\frac{2}{0.01} =200 $

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