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X2-9X+11=9
We move all terms to the left:
X2-9X+11-(9)=0
We add all the numbers together, and all the variables
X^2-9X+2=0
a = 1; b = -9; c = +2;
Δ = b2-4ac
Δ = -92-4·1·2
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{73}}{2*1}=\frac{9-\sqrt{73}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{73}}{2*1}=\frac{9+\sqrt{73}}{2} $
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