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-0.000012x^2-0.1x+168=0
We add all the numbers together, and all the variables
-5x^2-0.1x+168-1.2E=0
We add all the numbers together, and all the variables
-5x^2-0.1x+164.73806180585=0
a = -5; b = -0.1; c = +164.73806180585;
Δ = b2-4ac
Δ = -0.12-4·(-5)·164.73806180585
Δ = 3294.771236117
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{-(-0.1)-\sqrt{3294.771236117}}{2*-5}=\frac{0.1-\sqrt{3294.771236117}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.1)+\sqrt{3294.771236117}}{2*-5}=\frac{0.1+\sqrt{3294.771236117}}{-10} $
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