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x^2+6x+.0000000000005=0
We add all the numbers together, and all the variables
x^2+6x-13+5.0E=0
We add all the numbers together, and all the variables
x^2+6x+0.59140914229523=0
a = 1; b = 6; c = +0.59140914229523;
Δ = b2-4ac
Δ = 62-4·1·0.59140914229523
Δ = 33.634363430819
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{-(6)-\sqrt{33.634363430819}}{2*1}=\frac{-6-\sqrt{33.634363430819}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{33.634363430819}}{2*1}=\frac{-6+\sqrt{33.634363430819}}{2} $
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