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X^2-90X-720=0
a = 1; b = -90; c = -720;
Δ = b2-4ac
Δ = -902-4·1·(-720)
Δ = 10980
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{10980}=\sqrt{36*305}=\sqrt{36}*\sqrt{305}=6\sqrt{305}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-6\sqrt{305}}{2*1}=\frac{90-6\sqrt{305}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+6\sqrt{305}}{2*1}=\frac{90+6\sqrt{305}}{2} $
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