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x(x-0.05)=11045
We move all terms to the left:
x(x-0.05)-(11045)=0
We multiply parentheses
x^2-0.05x-11045=0
a = 1; b = -0.05; c = -11045;
Δ = b2-4ac
Δ = -0.052-4·1·(-11045)
Δ = 44180.0025
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.05)-\sqrt{44180.0025}}{2*1}=\frac{0.05-\sqrt{44180.0025}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.05)+\sqrt{44180.0025}}{2*1}=\frac{0.05+\sqrt{44180.0025}}{2} $
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