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56x^2-156.8x+109.0=0
We add all the numbers together, and all the variables
56x^2-156.8x+109=0
a = 56; b = -156.8; c = +109;
Δ = b2-4ac
Δ = -156.82-4·56·109
Δ = 170.24000000001
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{-(-156.8)-\sqrt{170.24000000001}}{2*56}=\frac{156.8-\sqrt{170.24000000001}}{112} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156.8)+\sqrt{170.24000000001}}{2*56}=\frac{156.8+\sqrt{170.24000000001}}{112} $
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