X2-5x-1800=0

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Solution for X2-5x-1800=0 equation: 



X2-5X-1800=0

We add all the numbers together, and all the variables

X^2-5X-1800=0

a = 1; b = -5; c = -1800;
Δ = b2-4ac
Δ = -52-4·1·(-1800)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$


$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-85}{2*1}=\frac{-80}{2}
=-40
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+85}{2*1}=\frac{90}{2}
=45
$

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