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X^2=11X-2
We move all terms to the left:
X^2-(11X-2)=0
We get rid of parentheses
X^2-11X+2=0
a = 1; b = -11; c = +2;
Δ = b2-4ac
Δ = -112-4·1·2
Δ = 113
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{-(-11)-\sqrt{113}}{2*1}=\frac{11-\sqrt{113}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{113}}{2*1}=\frac{11+\sqrt{113}}{2} $
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