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0.0021x^2-0.286x+16.28=8.0
We move all terms to the left:
0.0021x^2-0.286x+16.28-(8.0)=0
We add all the numbers together, and all the variables
0.0021x^2-0.286x+16.28-8=0
We add all the numbers together, and all the variables
0.0021x^2-0.286x+8.28=0
a = 0.0021; b = -0.286; c = +8.28;
Δ = b2-4ac
Δ = -0.2862-4·0.0021·8.28
Δ = 0.012244
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{-(-0.286)-\sqrt{0.012244}}{2*0.0021}=\frac{0.286-\sqrt{0.012244}}{0.0042} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.286)+\sqrt{0.012244}}{2*0.0021}=\frac{0.286+\sqrt{0.012244}}{0.0042} $
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