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623.7-202.8x-12x^2=0
a = -12; b = -202.8; c = +623.7;
Δ = b2-4ac
Δ = -202.82-4·(-12)·623.7
Δ = 71065.44
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{-(-202.8)-\sqrt{71065.44}}{2*-12}=\frac{202.8-\sqrt{71065.44}}{-24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-202.8)+\sqrt{71065.44}}{2*-12}=\frac{202.8+\sqrt{71065.44}}{-24} $
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