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9+n(11-4n)-11n=0
We add all the numbers together, and all the variables
n(-4n+11)-11n+9=0
We add all the numbers together, and all the variables
-11n+n(-4n+11)+9=0
We multiply parentheses
-4n^2-11n+11n+9=0
We add all the numbers together, and all the variables
-4n^2+9=0
a = -4; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-4)·9
Δ = 144
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{144}=12$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-4}=\frac{-12}{-8} =1+1/2 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-4}=\frac{12}{-8} =-1+1/2 $
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