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2n^2+5n-5=0
a = 2; b = 5; c = -5;
Δ = b2-4ac
Δ = 52-4·2·(-5)
Δ = 65
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}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{65}}{2*2}=\frac{-5-\sqrt{65}}{4} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{65}}{2*2}=\frac{-5+\sqrt{65}}{4} $
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