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5n^2-40n+75=0
a = 5; b = -40; c = +75;
Δ = b2-4ac
Δ = -402-4·5·75
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{100}=10$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-10}{2*5}=\frac{30}{10} =3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+10}{2*5}=\frac{50}{10} =5 $
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