X^2+x-408=0

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Solution for X^2+x-408=0 equation:



X^2+X-408=0
a = 1; b = 1; c = -408;
Δ = b2-4ac
Δ = 12-4·1·(-408)
Δ = 1633
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{-(1)-\sqrt{1633}}{2*1}=\frac{-1-\sqrt{1633}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1633}}{2*1}=\frac{-1+\sqrt{1633}}{2} $

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