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X^2+15X+17=0
a = 1; b = 15; c = +17;
Δ = b2-4ac
Δ = 152-4·1·17
Δ = 157
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{-(15)-\sqrt{157}}{2*1}=\frac{-15-\sqrt{157}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{157}}{2*1}=\frac{-15+\sqrt{157}}{2} $
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