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0=-0.011x^2+0.99x-13.4
We move all terms to the left:
0-(-0.011x^2+0.99x-13.4)=0
We add all the numbers together, and all the variables
-(-0.011x^2+0.99x-13.4)=0
We get rid of parentheses
0.011x^2-0.99x+13.4=0
a = 0.011; b = -0.99; c = +13.4;
Δ = b2-4ac
Δ = -0.992-4·0.011·13.4
Δ = 0.3905
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{-(-0.99)-\sqrt{0.3905}}{2*0.011}=\frac{0.99-\sqrt{0.3905}}{0.022} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.99)+\sqrt{0.3905}}{2*0.011}=\frac{0.99+\sqrt{0.3905}}{0.022} $
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