X^2-19x+1=0

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Solution for X^2-19x+1=0 equation: 



X^2-19X+1=0

a = 1; b = -19; c = +1;
Δ = b2-4ac
Δ = -192-4·1·1
Δ = 357
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{-(-19)-\sqrt{357}}{2*1}=\frac{19-\sqrt{357}}{2}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{357}}{2*1}=\frac{19+\sqrt{357}}{2}
$

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