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X2+0.00001X-0.000001=0
We add all the numbers together, and all the variables
X^2+0.00001X-6-1.0E=0
We add all the numbers together, and all the variables
X^2+0.00001X-8.718281828459=0
a = 1; b = 0.00001; c = -8.718281828459;
Δ = b2-4ac
Δ = 0.000012-4·1·(-8.718281828459)
Δ = 34.873127313936
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{-(0.00001)-\sqrt{34.873127313936}}{2*1}=\frac{-7.718281828459-\sqrt{34.873127313936}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.00001)+\sqrt{34.873127313936}}{2*1}=\frac{-7.718281828459+\sqrt{34.873127313936}}{2} $
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