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56x^2-127x-66=0
a = 56; b = -127; c = -66;
Δ = b2-4ac
Δ = -1272-4·56·(-66)
Δ = 30913
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{-(-127)-\sqrt{30913}}{2*56}=\frac{127-\sqrt{30913}}{112} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-127)+\sqrt{30913}}{2*56}=\frac{127+\sqrt{30913}}{112} $
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