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x^2-400x-10000=0
a = 1; b = -400; c = -10000;
Δ = b2-4ac
Δ = -4002-4·1·(-10000)
Δ = 200000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{200000}=\sqrt{40000*5}=\sqrt{40000}*\sqrt{5}=200\sqrt{5}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-400)-200\sqrt{5}}{2*1}=\frac{400-200\sqrt{5}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-400)+200\sqrt{5}}{2*1}=\frac{400+200\sqrt{5}}{2} $
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