X2-18x-4=0

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Solution for X2-18x-4=0 equation:



X2-18X-4=0
We add all the numbers together, and all the variables
X^2-18X-4=0
a = 1; b = -18; c = -4;
Δ = b2-4ac
Δ = -182-4·1·(-4)
Δ = 340
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{340}=\sqrt{4*85}=\sqrt{4}*\sqrt{85}=2\sqrt{85}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{85}}{2*1}=\frac{18-2\sqrt{85}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{85}}{2*1}=\frac{18+2\sqrt{85}}{2} $

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