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x^2-60x=-0.8*10^-9
We move all terms to the left:
x^2-60x-(-0.8*10^-9)=0
We add all the numbers together, and all the variables
x^2-60x-10+8.0E=0
We add all the numbers together, and all the variables
x^2-60x+11.746254627672=0
a = 1; b = -60; c = +11.746254627672;
Δ = b2-4ac
Δ = -602-4·1·11.746254627672
Δ = 3553.0149814893
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{-(-60)-\sqrt{3553.0149814893}}{2*1}=\frac{60-\sqrt{3553.0149814893}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+\sqrt{3553.0149814893}}{2*1}=\frac{60+\sqrt{3553.0149814893}}{2} $
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