X^2-x-1900=0

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Solution for X^2-x-1900=0 equation:



X^2-X-1900=0
We add all the numbers together, and all the variables
X^2-1X-1900=0
a = 1; b = -1; c = -1900;
Δ = b2-4ac
Δ = -12-4·1·(-1900)
Δ = 7601
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{7601}}{2*1}=\frac{1-\sqrt{7601}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{7601}}{2*1}=\frac{1+\sqrt{7601}}{2} $

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