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x(x-0.25)=0
We multiply parentheses
x^2-0.25x=0
a = 1; b = -0.25; c = 0;
Δ = b2-4ac
Δ = -0.252-4·1·0
Δ = 0.0625
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{-(-0.25)-\sqrt{0.0625}}{2*1}=\frac{0.25-\sqrt{0.0625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.25)+\sqrt{0.0625}}{2*1}=\frac{0.25+\sqrt{0.0625}}{2} $
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