x^2+0.5x-0.006=0

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Solution for x^2+0.5x-0.006=0 equation:



x^2+0.5x-0.006=0
a = 1; b = 0.5; c = -0.006;
Δ = b2-4ac
Δ = 0.52-4·1·(-0.006)
Δ = 0.274
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.5)-\sqrt{0.274}}{2*1}=\frac{-0.5-\sqrt{0.274}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.5)+\sqrt{0.274}}{2*1}=\frac{-0.5+\sqrt{0.274}}{2} $

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