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x2-108x-720=0
We add all the numbers together, and all the variables
x^2-108x-720=0
a = 1; b = -108; c = -720;
Δ = b2-4ac
Δ = -1082-4·1·(-720)
Δ = 14544
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{14544}=\sqrt{144*101}=\sqrt{144}*\sqrt{101}=12\sqrt{101}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-12\sqrt{101}}{2*1}=\frac{108-12\sqrt{101}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+12\sqrt{101}}{2*1}=\frac{108+12\sqrt{101}}{2} $
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