0.57x^2-3.7x-2.5=0

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Solution for 0.57x^2-3.7x-2.5=0 equation: 



0.57x^2-3.7x-2.5=0

a = 0.57; b = -3.7; c = -2.5;
Δ = b2-4ac
Δ = -3.72-4·0.57·(-2.5)
Δ = 19.39
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{-(-3.7)-\sqrt{19.39}}{2*0.57}=\frac{3.7-\sqrt{19.39}}{1.14}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.7)+\sqrt{19.39}}{2*0.57}=\frac{3.7+\sqrt{19.39}}{1.14}
$

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