x^2+3.5x-1.086=0

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Solution for x^2+3.5x-1.086=0 equation:



x^2+3.5x-1.086=0
a = 1; b = 3.5; c = -1.086;
Δ = b2-4ac
Δ = 3.52-4·1·(-1.086)
Δ = 16.594
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{-(3.5)-\sqrt{16.594}}{2*1}=\frac{-3.5-\sqrt{16.594}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.5)+\sqrt{16.594}}{2*1}=\frac{-3.5+\sqrt{16.594}}{2} $

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