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X2-73X-24=0
We add all the numbers together, and all the variables
X^2-73X-24=0
a = 1; b = -73; c = -24;
Δ = b2-4ac
Δ = -732-4·1·(-24)
Δ = 5425
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{5425}=\sqrt{25*217}=\sqrt{25}*\sqrt{217}=5\sqrt{217}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-5\sqrt{217}}{2*1}=\frac{73-5\sqrt{217}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+5\sqrt{217}}{2*1}=\frac{73+5\sqrt{217}}{2} $
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