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x2-0.75x+0.125=0
We add all the numbers together, and all the variables
x^2-0.75x+0.125=0
a = 1; b = -0.75; c = +0.125;
Δ = b2-4ac
Δ = -0.752-4·1·0.125
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{-(-0.75)-\sqrt{0.0625}}{2*1}=\frac{0.75-\sqrt{0.0625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.75)+\sqrt{0.0625}}{2*1}=\frac{0.75+\sqrt{0.0625}}{2} $
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