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2n^2-29n-15=0
a = 2; b = -29; c = -15;
Δ = b2-4ac
Δ = -292-4·2·(-15)
Δ = 961
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{961}=31$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-31}{2*2}=\frac{-2}{4} =-1/2 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+31}{2*2}=\frac{60}{4} =15 $
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