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x^2-4.58x-16.8=3.28
We move all terms to the left:
x^2-4.58x-16.8-(3.28)=0
We add all the numbers together, and all the variables
x^2-4.58x-20.08=0
a = 1; b = -4.58; c = -20.08;
Δ = b2-4ac
Δ = -4.582-4·1·(-20.08)
Δ = 101.2964
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{-(-4.58)-\sqrt{101.2964}}{2*1}=\frac{4.58-\sqrt{101.2964}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.58)+\sqrt{101.2964}}{2*1}=\frac{4.58+\sqrt{101.2964}}{2} $
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