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x^2+x-127=0
a = 1; b = 1; c = -127;
Δ = b2-4ac
Δ = 12-4·1·(-127)
Δ = 509
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{-(1)-\sqrt{509}}{2*1}=\frac{-1-\sqrt{509}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{509}}{2*1}=\frac{-1+\sqrt{509}}{2} $
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