x^2-9.5x-23=0

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Solution for x^2-9.5x-23=0 equation:



x^2-9.5x-23=0
a = 1; b = -9.5; c = -23;
Δ = b2-4ac
Δ = -9.52-4·1·(-23)
Δ = 182.25
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{-(-9.5)-\sqrt{182.25}}{2*1}=\frac{9.5-\sqrt{182.25}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.5)+\sqrt{182.25}}{2*1}=\frac{9.5+\sqrt{182.25}}{2} $

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