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n2=2.25
We move all terms to the left:
n2-(2.25)=0
We add all the numbers together, and all the variables
n^2-2.25=0
a = 1; b = 0; c = -2.25;
Δ = b2-4ac
Δ = 02-4·1·(-2.25)
Δ = 9
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{9}=3$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3}{2*1}=\frac{-3}{2} =-1+1/2 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3}{2*1}=\frac{3}{2} =1+1/2 $
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