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x^2-19.2156862745x=94.1568627451
We move all terms to the left:
x^2-19.2156862745x-(94.1568627451)=0
We add all the numbers together, and all the variables
x^2-19.2156862745x-94.1568627451=0
a = 1; b = -19.2156862745; c = -94.1568627451;
Δ = b2-4ac
Δ = -19.21568627452-4·1·(-94.1568627451)
Δ = 745.87004998041
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{-(-19.2156862745)-\sqrt{745.87004998041}}{2*1}=\frac{19.2156862745-\sqrt{745.87004998041}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.2156862745)+\sqrt{745.87004998041}}{2*1}=\frac{19.2156862745+\sqrt{745.87004998041}}{2} $
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