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4x^2-80x+384=0
a = 4; b = -80; c = +384;
Δ = b2-4ac
Δ = -802-4·4·384
Δ = 256
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{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-16}{2*4}=\frac{64}{8} =8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+16}{2*4}=\frac{96}{8} =12 $
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