x^2-12.5x-14.5=0

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Solution for x^2-12.5x-14.5=0 equation:



x^2-12.5x-14.5=0
a = 1; b = -12.5; c = -14.5;
Δ = b2-4ac
Δ = -12.52-4·1·(-14.5)
Δ = 214.25
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{-(-12.5)-\sqrt{214.25}}{2*1}=\frac{12.5-\sqrt{214.25}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{214.25}}{2*1}=\frac{12.5+\sqrt{214.25}}{2} $

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