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4x^2-264x+720=0
a = 4; b = -264; c = +720;
Δ = b2-4ac
Δ = -2642-4·4·720
Δ = 58176
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{58176}=\sqrt{576*101}=\sqrt{576}*\sqrt{101}=24\sqrt{101}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-264)-24\sqrt{101}}{2*4}=\frac{264-24\sqrt{101}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-264)+24\sqrt{101}}{2*4}=\frac{264+24\sqrt{101}}{8} $
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