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x^2-300x-20000=0
a = 1; b = -300; c = -20000;
Δ = b2-4ac
Δ = -3002-4·1·(-20000)
Δ = 170000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{170000}=\sqrt{10000*17}=\sqrt{10000}*\sqrt{17}=100\sqrt{17}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-100\sqrt{17}}{2*1}=\frac{300-100\sqrt{17}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+100\sqrt{17}}{2*1}=\frac{300+100\sqrt{17}}{2} $
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