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4x^2-1452x+131040=0
a = 4; b = -1452; c = +131040;
Δ = b2-4ac
Δ = -14522-4·4·131040
Δ = 11664
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{11664}=108$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1452)-108}{2*4}=\frac{1344}{8} =168 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1452)+108}{2*4}=\frac{1560}{8} =195 $
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