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4x^2-4x+1=1096.633
We move all terms to the left:
4x^2-4x+1-(1096.633)=0
We add all the numbers together, and all the variables
4x^2-4x-1095.633=0
a = 4; b = -4; c = -1095.633;
Δ = b2-4ac
Δ = -42-4·4·(-1095.633)
Δ = 17546.128
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{-(-4)-\sqrt{17546.128}}{2*4}=\frac{4-\sqrt{17546.128}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+\sqrt{17546.128}}{2*4}=\frac{4+\sqrt{17546.128}}{8} $
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