x^2-11.5x-2,7=0

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Solution for x^2-11.5x-2,7=0 equation:



x^2-11.5x-2.7=0
a = 1; b = -11.5; c = -2.7;
Δ = b2-4ac
Δ = -11.52-4·1·(-2.7)
Δ = 143.05
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{-(-11.5)-\sqrt{143.05}}{2*1}=\frac{11.5-\sqrt{143.05}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.5)+\sqrt{143.05}}{2*1}=\frac{11.5+\sqrt{143.05}}{2} $

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