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-5n^2+30n+35=0
a = -5; b = 30; c = +35;
Δ = b2-4ac
Δ = 302-4·(-5)·35
Δ = 1600
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{1600}=40$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-40}{2*-5}=\frac{-70}{-10} =+7 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+40}{2*-5}=\frac{10}{-10} =-1 $
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