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5x^2-15000x-2000000=0
a = 5; b = -15000; c = -2000000;
Δ = b2-4ac
Δ = -150002-4·5·(-2000000)
Δ = 265000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{265000000}=\sqrt{1000000*265}=\sqrt{1000000}*\sqrt{265}=1000\sqrt{265}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15000)-1000\sqrt{265}}{2*5}=\frac{15000-1000\sqrt{265}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15000)+1000\sqrt{265}}{2*5}=\frac{15000+1000\sqrt{265}}{10} $
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