-0.4707x^2+237.72x-3500=0

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Solution for -0.4707x^2+237.72x-3500=0 equation: 



-0.4707x^2+237.72x-3500=0

a = -0.4707; b = 237.72; c = -3500;
Δ = b2-4ac
Δ = 237.722-4·(-0.4707)·(-3500)
Δ = 49920.9984
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{-(237.72)-\sqrt{49920.9984}}{2*-0.4707}=\frac{-237.72-\sqrt{49920.9984}}{-0.9414}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(237.72)+\sqrt{49920.9984}}{2*-0.4707}=\frac{-237.72+\sqrt{49920.9984}}{-0.9414}
$

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