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x^2-53x+396=0
a = 1; b = -53; c = +396;
Δ = b2-4ac
Δ = -532-4·1·396
Δ = 1225
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{1225}=35$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-53)-35}{2*1}=\frac{18}{2} =9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-53)+35}{2*1}=\frac{88}{2} =44 $
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