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x^2-34x+273=0
a = 1; b = -34; c = +273;
Δ = b2-4ac
Δ = -342-4·1·273
Δ = 64
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{64}=8$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-8}{2*1}=\frac{26}{2} =13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+8}{2*1}=\frac{42}{2} =21 $
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