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10000x^2+45000x=0
a = 10000; b = 45000; c = 0;
Δ = b2-4ac
Δ = 450002-4·10000·0
Δ = 2025000000
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{2025000000}=45000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45000)-45000}{2*10000}=\frac{-90000}{20000} =-4+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45000)+45000}{2*10000}=\frac{0}{20000} =0 $
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