# X^2-4x-183=0

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## Solution for X^2-4x-183=0 equation:

X^2-4X-183=0
a = 1; b = -4; c = -183;Δ = b2-4acΔ = -42-4·1·(-183)Δ = 748The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$The end solution:
$\sqrt{\Delta}=\sqrt{748}=\sqrt{4*187}=\sqrt{4}*\sqrt{187}=2\sqrt{187}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{187}}{2*1}=\frac{4-2\sqrt{187}}{2}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{187}}{2*1}=\frac{4+2\sqrt{187}}{2}$

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