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x^2-100x+291=0
a = 1; b = -100; c = +291;
Δ = b2-4ac
Δ = -1002-4·1·291
Δ = 8836
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{8836}=94$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-94}{2*1}=\frac{6}{2} =3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+94}{2*1}=\frac{194}{2} =97 $
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