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x2-97x+456=0
We add all the numbers together, and all the variables
x^2-97x+456=0
a = 1; b = -97; c = +456;
Δ = b2-4ac
Δ = -972-4·1·456
Δ = 7585
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{-(-97)-\sqrt{7585}}{2*1}=\frac{97-\sqrt{7585}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+\sqrt{7585}}{2*1}=\frac{97+\sqrt{7585}}{2} $
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