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X^2-7X-37=0
a = 1; b = -7; c = -37;
Δ = b2-4ac
Δ = -72-4·1·(-37)
Δ = 197
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{-(-7)-\sqrt{197}}{2*1}=\frac{7-\sqrt{197}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{197}}{2*1}=\frac{7+\sqrt{197}}{2} $
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