x^2-3x-5.5=0

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Solution for x^2-3x-5.5=0 equation:



x^2-3x-5.5=0
a = 1; b = -3; c = -5.5;
Δ = b2-4ac
Δ = -32-4·1·(-5.5)
Δ = 31
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)-\sqrt{31}}{2*1}=\frac{3-\sqrt{31}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{31}}{2*1}=\frac{3+\sqrt{31}}{2} $

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