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20000x^2-460000x+2540000=0
a = 20000; b = -460000; c = +2540000;
Δ = b2-4ac
Δ = -4600002-4·20000·2540000
Δ = 8400000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8400000000}=\sqrt{400000000*21}=\sqrt{400000000}*\sqrt{21}=20000\sqrt{21}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-460000)-20000\sqrt{21}}{2*20000}=\frac{460000-20000\sqrt{21}}{40000} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-460000)+20000\sqrt{21}}{2*20000}=\frac{460000+20000\sqrt{21}}{40000} $
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