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X^2-3X-58=0
a = 1; b = -3; c = -58;
Δ = b2-4ac
Δ = -32-4·1·(-58)
Δ = 241
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{-(-3)-\sqrt{241}}{2*1}=\frac{3-\sqrt{241}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{241}}{2*1}=\frac{3+\sqrt{241}}{2} $
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